Central Force Examples: Detailed Facts

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In this article, we are going to discuss some of the central force examples in brief, and understand the detailed facts.

The following is a list of the central force examples:-

Uniform circular motion:

An object following a circular path without changing its speed, then the object is said to be moving in a uniform circular motion. The acceleration of the object is due to the changing velocity which is seen mainly because the direction of the velocity component keeps on changing as the force is tangent to the circular path of the object. Though the velocity of the objects varies with the tangential force, the speed of the objects remains the same.

If the velocity of the object slightly falls down then the object will accelerate inward. This is because the force is directed towards the center which is perpendicular to the motion of the object.

The acceleration due to circular motion is equal to

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Therefore, the force on the object

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Uniform Circular Motion;
Image Credit: Stack Exchange

Fairground ride:

central force examples
Fairground ride; Image Credit: TwinCities

You must have come across a fairground ride in amusement parks. It consists of chairs suspended by strings attached to a circular large disc at the center. As this disc rotates, the strings attached to it will rotate with a person sitting on a chair in a circular motion.

The fairground ride does not have a uniform circular motion as the speed is not constant and the direction of velocity keeps on changing. Whereas the force is directed towards the center and the velocity of the person sitting on the chair is perpendicular to the direction of the force. This is a centripetal force and due to the centripetal force, a tension is generated in a wire attached to the chair which balances both the centripetal force as well as the gravity.

Car taking a turn on a circular path:

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Car taking a turn;
Image Credit: sci.renewable

When the car is taking a turn in a circular path, a central force acts inward in order to neutralize the centrifugal force acting outward. The frictional force between tyres and a metallic road provides a centripetal force necessary for a car to take a turn.

Cyclotron:

concept
Cyclotron; Image Credit: toppr

A cyclotron works on the principle of electromagnetism which has both electric and magnetic fields perpendicular to each other and charged particles accelerates in this field to attain high energies. It consists of two discs that have a semi-circular D-like shape called Dees.

The frequencies of the particles revolving inside the cyclotron do not depend upon the energies associated with the particles. When the particle is released inside the cyclotron, the electromagnetic field allows the particle to go in a circular path inside both the Dees. The particle is accelerated due to the electric field. The acceleration of the particle increases the energy of the particle. With increasing energies, the radius of the circular path traveled by the particle also increases. The magnetic field guides the particles to exhibit a circular motion.

Gravitron:

Gravitron ride is another exciting thing to do at the amusement park. A person is made to stand against the cylindrical wall and gradually the speed of the gravitron is increased. As the rotational speed of the gravitron reaches very high, the floor beneath the person standing on is removed but surprisingly the rider remains attached to the wall of the gravitron.

The rider standing insider the gravitron experiences the centrifugal force which is equal to three times the force experience due to gravity thus allowing the riders to remain attached to the wall of the gravitron other than falling down on removal of the floor underneath.

Ceiling fans:

The rotation of the propellers depends upon the rotor to which they are fixed. The rotor works on the principle of electromagnetism. As the current flow in the coil, the magnetic field is induced in the coil that produces torque around the axis of the rotor.  The magnets in the rotor of a fan are repelled by the stator that helps to increase the speed of the rotor. The rotor and stator repel themselves away from each other for every cycle. The circular motion of the rotor makes the blades of the fan move in a uniform circular motion. Hence, is also one among the central force examples.

Windmill:

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Windmill rotation of blades; Image Credits: turbinegenerator

The windmills convert wind energy to electric energy; and are also used for milling grains, extracting oil from seeds, pumping water from underground, etc.

As the blades move when there is enough wind speed to move the blades, the shaft starts to spin producing mechanical energy out of wind energy. The motor helps to increase the number of rotations per second, which is then connected to a generator to convert the mechanical energy obtained to electric energy. The motion of blades of the windmills is an example of a central force. The velocity of the blade is in a circular path and the central force acting towards the center makes the motor spin at high speed.

Motion of electrons around the nucleus:

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Motion of electrons around the nucleus;
Image Credit: bccampus

The bulky mass comprised by the atom is concentrated at the center called the nucleus of the atom and the lighter masses are found revolving around the nucleus of the atom.

Mass of the proton mp = 1.67*10-27

Mass of the neutron mn = 1.76*10-27

Mass of the electron me = 9.1*10-31

The mass of the electron is very small as compared to proton and neutron. The electron is a negatively charged particle and protons add positive charge inside the nucleus since the neutrons have no charge, the difference in the charges attracts towards each other, but the wavelength of the electrons is much larger than the radius of the proton and hence electrons and protons do not collide with each other.

The revolving electron is associated with the centrifugal force that balances the force of attraction between the two oppositely charged particles and escapes the electron falling into the nucleus.

Artificial satellites around the Earth:

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Satellite revolving around the Earth;
Image Credit: Quora

The satellite around the Earth is revolving in a uniform circular motion due to the gravitational pull of the earth. As the mass of the Earth is far greater than that of the satellite, the satellite experiences the force towards the center of the Earth and the velocity of the satellite remains perpendicular to the direction of the force that tends to keep the satellite revolving in a circular orbit around the Earth.

The satellite will move in a uniform circular motion around the Earth under the action of a centripetal force given by F=mv2/r which balance the gravitational force and hence,

mv2/r =G*(Mm)/r2

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‘v’ is a speed of artificial satellites orbiting around the planet Earth.

Ferris wheel:

Ferris wheels are giant wheel in the amusement parks that spins upward with the help of gears and motors, while the gravity of the Earth pulls back the wheel down to the normal position and this is repeated. The wheel is rotated about a central axis. The force due to centripetal acceleration that acts towards the center of the wheel is

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is an angular acceleration and r is a radius of the wheel.

The force acting on the passenger is a combined effect of the centripetal force and the force due to gravity. The mass of the passenger varies depending upon the centripetal acceleration and gravity.

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Acceleration of the Ferris wheel; Image Credit: RealWorldPhysics

When a wheel is moving from downward to the upward position, it needs enough force to move upward opposing the gravitational pull acting downward. The acceleration of a wheel is pointing upward. The force experienced on the body is the sum of the centripetal acceleration and also the gravitational force which is given as

F=m(g+a)

Where

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As the height from the ground rises, the potential energy of the body increases and the passenger feels heavier by weight.

On reaching the top of the wheel, the centripetal acceleration is now pointing downward. The force experienced on the person now will be minimal because the gravitational pull itself accelerates the wheel downward, hence the total force experienced on the body is.

At this point, the potential energy is converted into kinetic energy and the body freely accelerated downward without experiencing any force. This can also be called a free fall of the body. Hence, the passenger feels lighter from this point till reaching the bottom of the wheel where the kinetic energy of the body becomes almost zero and restarts building the potential energy.

Mixer Grinder:

A shaft rotates due to the motor coupler on the main unit and at the base of a grinding jar. With a rotating shaft, the blade attached to a shaft also rotates and helps in grinding the mixture. The rotation of the blade is associated with the central force axis at the shaft. The spinning of the blades sets food particles in a circular motion; this creates a vacuum at the center and moves the particles towards the sides of the jar.

What is a Central Force

Force acting on the particle or an object directing towards a fix point at the center along the line joining the object in space and the magnitude of the force depends upon the distance between the object and the focus is called a central force.

It comes into action only along the line joining the two objects interacting towards each other and is exerted at the center of the two bodies.

The angular momentum possessed by the object in a circular path is constant. Total work done by the object in a motion is zero and hence the total energy is constant. Therefore, it is a conservative force.

Central force is the same as a centripetal force which is a force experienced on the object perpendicular to its velocity and undergoes a tangential force that tends to keep the object in a circular path.

Read more on Is Gravitational Force A Contact Force: Why, How, When and Detailed Facts.

Frequently Asked Questions

Is central force a contact force?

When the force is applied to any object by being in physical contact with that body is known as a contact force, hence the central force can’t be a contact force.

Central force is when the force is subjected towards the center between the objects at a focus in a space. It is associated with the field or force of attraction between the objects separated by the distance.

Is electromagnetic force a central force?

An electromagnetic force is a central force.

A particle in the magnetic field moves along the direction perpendicular to the force which is responsible for a circular motion of the particle present in the field. The force acts towards the center of this circular path attained by the particle in motion.

Also Read:

15 Muscular Force Examples: Detailed Insights

vector man climbing the stairs business development and career growth concept

In this article, we are going to discuss several muscular force examples that we often come across in our daily life.

The following is a list of muscular force examples that we are going to discuss here below:-

What is muscular force?

We perform various activities using muscular force; while playing, lifting any objects, walking, riding, cooking, pushing, pulling, workouts, etc.

Any activity utilizing the muscles to do the work is called the muscular force. It is applicable only when the object is in close contact with the body, hence it is a contact force.

Muscular Force Examples

In our day-to-day life, we make a lot of use of the muscular force almost for all activities. Let us discuss some of the muscular force examples.

Chewing: To mix the food particles with saliva and break the food into a bolus in the mouth we chew the food. To chew the food we make a rapid movement of the muscles to open and close the jaws. Hence chewing is associated with muscular force by the jaw muscles.

Man walking staircase: While walking the staircase, a man applies pressure on the front leg to lift his back leg and place it on the step ahead. This motion is possible due to the muscular movement of the legs. The force required to do so is a muscular force.

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Man walking stairs;
Image credit: vecteezy

Squeezing wet clothes: To drain out the water from the wet clothes, the clothes are twisted by applying force from both the hands in the opposite direction holding both the ends of the cloth using the muscles on hand, hence is also a muscular force example.

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Squeezing wet clothes;
Image Credit: dreamstime

Riding a bicycle: Riding a bicycle is a good exercise to improve blood circulation in the body. For a rider to keep the bicycle in momentum, the bicycler needs to continuously paddle the bicycle. The muscular force is applied to paddle the bicycle. The brakes are applied using the hand, to control the speed of the cycle. This also needs a muscular force. For riding a bicycle, the muscular force from both, the arms, as well as the legs are used.

Playing: While playing different games we often use a muscular force. For a footballer to kick a ball, various joints and muscles from the lower part of the body are used. The primary muscle situated on the lower leg utilized to kick the football is the tibia. The power required to kick the ball comes from the knee and hip when it is extended to kick the ball. The extension of the knee results in the contraction of the thigh muscles. These muscles are called quadriceps.

To hit the badminton cork, for throwing the ball in the air, playing with the ring, volleyball, basketball, etc. calf and soleus muscles present on the back of the lower leg give the energy to hit the cork. From upper body pectoral muscle on the chest, deltoids on the shoulder and even the abdominal muscles work in the movement while playing badminton.

Trapezium muscle on the back of the neck and upper backbone also helps during the motion, catching the ball, playing tennis, badminton, passing the ball, etc.

For playing kho-kho, running, or squatting, quadriceps and hamstring muscles are used. While running, the athlete pushes the body forward by applying pressure on the ground by his/her feet. The muscles and ligament that runs along the feet connect the calf muscle on the lower leg helps in doing so, and is very essential for running, standing, walking, and jumping, for locomotion.

Many athletes and players find it is very essential to maintain their muscle strength and build muscles so that it will provide them enough muscular force to perform better in sports.

Pushing: The force applied on the object to move the object away from self is called pushing. The muscular force is imposed on the object to displace the object from one place to another. The force is applied on the object using muscle on hand. Triceps, biceps, deltoids, and abdominal muscles play a major role while pushing heavier objects. Along with calm and thigh muscles on legs are used to apply the pressure on the ground that gives support to put a force on the object. Examples are, pushing a door, shopping trolley, boxes with load, etc., which are associated with the muscular force that is exerted on the object using hands.

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A man pushing a box

Pulling: The force applied on the object to move the object closer towards the self is called pulling. The objects are pulled by the hand, using joints and muscles on hand; hence it is an example of muscular force. Some examples of pulling are opening the door or box, flying a kite, opening a drawer, pulling a trolley bag, etc.

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A girl pulling a trolley;
Image credit: clipground

Lifting: To lift any object in the hands, pectoral muscle, arms, and abdominal muscles are used. Since different muscles are utilized in doing so, it is a muscular force. Examples are: lifting a bucket full of water, lifting dumbbells, carrying a stack of books, etc.

Squeezing: To squeeze the juices from the lemon or orange, to squeeze water from the sponge, or to squeeze out the toothpaste from the tube, the hand palm is required to contract or expand the muscles on the hand as per the need. The muscles on hand contract while applying pressure and relax after removing the pressure. The hand muscles are used in doing this, hence is an example of muscular force.

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Squeezing Orange;
Image Credit: istock

Kneading dough: The muscular force of a hand and palm are used while kneading the dough. The force applied and the arm moment produce a torque.

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Kneading dough; Image Credit: bbcgoodfood

Bulls ploughing the field: Ploughing is the most ancient and primitive activity practiced in the field before sowing the seeds to germinate. Even today in some parts of the country ploughing of the field is done from the bulls. The muscular force of the bull is used to drive the plough and helps to loosen the soil and weeding too. Hence ploughing is also a muscular force example.

Pushups on the ground: Pushup is a common exercise performed by raising and lowering the body using arms. The pectoral muscles on the chest support arms to raise and lower the body. A deltoid muscle on the shoulder helps the pectoralis muscles to push the body. Triceps in the upper hand helps in extending the arms outward and abdominal muscles where the center of gravity of the human body pertains provides a core strength to brace the body during pushups.

muscular force examples
Pushups; Image Credit: philschatz

Drawing water from the well: To draw water from the well, we use a rope on the pulley and pull it toward ourselves. Doing this task without a pulley requires a lot of muscular power from deltoids. A lot of muscular strength by hands is utilized to draw out the water from the well. Using a pulley helps to reduce the force required and save energy. It reverses the direction of pulling; we pull the rope downward instead of upward by using a pulley, thus making it easier to apply the muscular force to pull the rope.

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Drawing water using pulley; Image credit: chegg

Playing musical instruments: Playing a musical instrument helps to communicate better between both the right and left brain and strengthens your memory power.

To play any string musical instrument maybe guitar, violin, viola, etc. we use all the muscles on hand, from palm, wrist, forearm to arms. Every muscle on hand exercises while playing the instrument thus helping to build the muscles too because muscles are in constant action while applying pressure on strings to playing a melody or chords.

The muscular force from hand and wrist, and obviously from mouth and face are used while playing instruments like saxophone, trumpet, flute, shehnai, tuba, clarinet, etc. To blow wind in an instrument, the diaphragm helps in inhalation. Hence, this is also an example of muscular force.

To press the keys on the piano, keyboard, organ, the muscle bulk on the fingers gives the strength to press the keys while playing a rhythm.

Controlling steering of a car: To hold a grip on steer on wheels of a car, we apply force by hand on the steer firmly. The force applied on the steer is equal to the torque applied upon the radius of the steering wheel. The muscles on the hand and palm are used to apply the force while steering, hence it is also a muscular force example.

Read more on Is Muscular Force A Contact Force: Why, How, When and Detailed Facts.

Frequently Asked Questions

What force is a muscular force?

There are various types of force existing in nature, like gravitational force, electrostatic force, magnetic force, frictional force, etc.

A force that results due to the movement of the muscles and is applied on the object using muscle strength by humans and animals is called a muscular force. Humans and animals can migrate, do the movements and perform various activities only because of the muscular force.

Is muscular force a contact force or a non-contact force?

The force applied on the object without physical contact is a non-contact force, whereas the force applied on the object being in close contact with that object is called a contact force.

The muscular force is applied on the object only by means of physical contact with the object to get the work done and it does not depend upon the external field, hence muscular force is a contact force.

From where do the muscles get the energy to produce a muscular force?

Enough energy is utilized to perform a day-to-day activity that utilizes muscular force.

The muscles get energy from the stored chemical energy that we received from food that we eat, which is converted into heat and energy. In its rest state muscles have energy stored with them in the form of potential energy and the same is converted into kinetic energy during the motion of a body.

Also Read:

Is Muscular Force A Contact Force: Why, How, When and Detailed Facts

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In this article, we are going to discuss what is muscular force, is muscular force a contact force or a non-contact force, the reason, and some facts.

Muscular force is a force imposed on any object by using the muscles strength of the body. It is a contact force as it acts only when the two bodies are in physical contact with each other.

Contact Force

A force is called a contact force when the force applied on the body is in physical contact with the body applying force. Examples of the contact forces are, man lifting a weight, pushing a trolley, object flying in the air dragged by the air resistance, frictional force on the tyres of the car accelerating on the metallic road, etc. No field is linked with these kinds of forces and acts only when the object is in physical contact with another object on which the force is supposed to act.

Non-contact Force

A force is known to be a non-contact force when the force is applied to the object without being in physical contact with it. These types of forces are associated with a field, and the forces are exerted on another body when present in this field region. Examples are the attraction of the iron nail on the bar magnet, deflection of the magnetic needle in the compass on the influence of the magnetic field of the Earth, the motion of the charges in the electric field, raindrops falling on the ground, etc.

What is Muscular Force

The physical force applied to any object by using muscle strength is called the muscular force.

Some examples of the muscular forces are player kicking a football, riding a bicycle, playing badminton, weight lifting, walking, pulling a trolley bag, climbing stairs, doing pushups on the ground, running, etc.; all these are the physical activities that involves using some muscles of the body and hence, it is called muscular force.

Why Muscular Force is a Contact Force

The human or an animal can move and do the work because of the muscular force that is utilized for every activity.

The work is done using a muscle strength of a body that results due to the contraction of the muscles. The muscles contract to create a movement of a body to exert a force on the object. The force thus applied is a muscular force. The muscular force comes into context only when the physical body comes in contact with the object and applies a force on it, and hence the muscular force is a contact force.

How does Muscles Generate Force

For every activity to be performed, different muscular strength is required to get the activity done. For example, if you bought a stack of books from the library and then lift a single book from the bunch of books to read it. The force required to lift the bunch of books was much greater than the force to take out a single book from it. The heavier the mass, the greater is the force experienced, and hence more is muscular force applied.

is muscular force a contact force
Little boy carrying a stack of books;
Image credits: classroomclipart
little boy lifting a book vector id502211418?k=6&m=502211418&s=170667a&w=0&h=qaRFgEcYI55NoWcWnE3y7Fwf4c cn2qWOnNvafe85pg=
Little boy lifting a single book from the stack of books;
Image credit: istockphoto

While applying a muscular force on the object, the muscle contracts causing the muscles to shorten, thereby building enough potential energy that generates the force. If the force experienced from the opposite direction is greater than the applied muscular force, then the muscles contraction will be more.

The muscle contraction is concentric or eccentric depending upon the arms or legs moment. The concentric contraction led to the shortening of the muscles and eccentric contraction causes the muscles to elongate.

On what factors does the muscular force depend

The muscular force can be controllable or uncontrollable depending upon the activity and the object on which the force is applied. The heavier the mass of the object, the greater is the muscular force required to be subjected on the object. Lighter the mass, very small muscular strength is utilized. Depending upon the mass of the object, and the object that needs to be displaced the force is applied to the object.

Muscular force is directly proportional to the muscular strength the body possesses. If a woman having a weight of 60kg can lift a weight of 20kg, the same weight is supposed to be lifted by the girl with a bodyweight 35kg, then she will have to put enough muscular strength to lift the weight; because the lady with 60kg has more muscular strength than the girl with 35kg; hence we can say that muscular strength is directly proportional to the mass.

The more the strength of the muscle, the more is the ability of a person or an animal to lift or move the object.

The force imposed on the object due to the movement of the arm results in the torque. Torque experienced on the object due to the muscular force is given as the product of the force and the arm moment and is formulated as

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Where tau (t) is a torque experienced on the object due to arm movement

F is a force on the object

mA is a mass

The muscular force depends upon the muscular strength of the body. The greater the contraction of the muscle, the greater it will release the force required to accomplish the activity.

Read more on 15+ Contact Force Examples: Exhaustive Insights And Facts.

Frequently Asked Questions

Is a muscular force a frictional force?

A frictional force acts on the objects in motion that acts in a direction opposite to the direction of the motion of the object. Friction resists the motion of a body when it is in close contact with another body, hence it is a contact force.

The muscular force is also a contact force. The frictional force will come into consideration only when the muscular force applied will be ascertained to resist the motion of the object. Hence, a muscular force can be a frictional force too.

Why muscular force is not a non-contact force?

When a force is applied on the body without being in physical contact with the body is known as the non-contact force.

The muscular force is the force applied by the muscles when doing any work only by making close contact with the body. The force is applicable only when the body is in close physical contact with the object. It is not associated with any field that the disturbance created in the field will get the work done. Hence, muscular force is not a non-contact force, but it is a contact force.

What force is a muscular force?

A muscular force is a contact force that comes into action by utilizing muscle power.

The force applied on the object using muscle power is a muscular force. While riding a bicycle the muscular force is applied for peddling the wheels to keep the bicycle in momentum, and brakes are applied by pulling the brake pad and a bell is the rung is by using the hand muscular strength. The man pushing a box with load, the batsman hitting a ball, are also examples of a muscular force.

Also Read:

Is Gravitational Force A Contact Force: Why, How, When and Detailed Facts

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In this article, we are going to discuss is gravitational force a contact force or a non-contact, why is gravity a non contact force, the reasons, and some facts.

A gravitational force is a force of attraction exerted by two bodies on each other and is a non-contact force between the two objects.

What is a Gravitational Force

The gravitational force is one of the four fundamental forces in nature and is the weakest force of attraction than the electromagnetic force, strong force, and weak force.

The gravitational force is a force of attraction between the two bodies having mass and separated by a distance ‘r’. The gravitational force is known to be an attractive force because it is exerted equally and opposite by the two objects on each other that keeps them binding in an orbit. Such that objects with less mass will tend to orbit around the heavier body, while both the objects with equal masses will revolve in the same orbit with respect to each other.

The idea of gravitational force was thought of first by the famous scientist Newton and he stated the law of gravity which says that “The gravitational force between the two bodies is proportional to the product of the two masses and inversely proportional to the square of the distance between them”. It is formulated as

F=G*(m1m2)/r2

Where G is a gravitational constant G=6.67*10-11

R is the distance of separation between two objects with mass

The same is illustrated for point charges in the electric field. The electric force experienced by two point charges q1 and q2 separated by a distance ‘r’ is given by

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Where

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is a Coulomb’s constant.

Characteristics of the Gravitational Force

  • It is the weakest force of all the fundamental forces in nature.
  • It is an attractive force held between two bodies that keep them bounded with each other.
  • It is a non-contact force that is exerted on the body from the distance separated from each other.
  • No field is required for two bodies to exert force on each other.
  • It is a long-range force. For example, the moon orbiting around the Earth is due to the gravitational pull of the Earth, the planets revolving around the Sun, the high tides and low tides on the Earth due to the gravitational pull of the Moon on the Earth.
  • The gravitational force depends upon the masses of the two object exerting force on each other.
  • The gravitational force decrease to the square times the length separating the objects as the distance between them increases.
  • The gravitation constant ‘G’ value is constant on the Earth.

Why is Gravity a Non-Contact Force

In Latin, gravity means ‘weight’. The gravitational force exerted on every object surrounding the Earth is known as gravity.

Have you ever wondered if there was no gravity of the Earth then what would have happened? We would have just floated in the air, not able to walk on the surface. The Earth in the orbit would have revolved at a faster rate around the Sun, all the objects would have just freely drifted in the atmosphere, we would have not been able to drive any vehicles, and trees would have not grown on the ground and so many things…

The world is as it is, is only because of the Earth’s gravity, this solar system exists only because the gravitational attraction exerted by the Sun is far stronger than any other object in this system.

The force exerted by the Earth on the objects surrounding it is due to the Earth’s gravitation force and the same is formulated as given below:

CodeCogsEqn 48

Where G is a gravitational constant

ME is the mass of the Earth

M is a mass of the object

RE is the radius of the Earth

h is an altitude above the surface of the Earth, if the object is on the surface of the Earth then h = 0.

If the object is present at infinity then it is concluded from the above expression that the force vanishes at the largest distance.

According to Newton’s Second Law of motion, “The acceleration of the object depends upon the net force acting on it and the mass of the object, the acceleration of the body is directly proportional to the force acting on it and inversely proportional to the mass of the object” and is represented as F=ma. The greater the mass of the object, the less is its acceleration.

Comparing the equation of gravity due to earth and Newton’s 2nd law of motion, we have

CodeCogsEqn 49

‘g’ is an acceleration due to the gravity of the Earth and it is constant on the Earth except at the magnetic poles of the Earth because the magnetic strength of the Earth is higher at the pole hence the ‘g’ value is slightly increased to 10m/s2.

Due to gravity, the weight of any object on the planet Earth will be mass times the acceleration due to gravity (Weight=Mass´g). The work done by the gravitational pull of the Earth on the object is

Work done = mgh.

The work done is equal to the potential energy of an object at a certain height ‘h’ from the ground.

Gravity is said to be a non-contact force because the gravitational force is exerted by one mass on another from the distance separated between them and without being in physical contact. All the objects having mass are bounded to one another by the gravitational pull of attraction. Gravity is a central force because it is directed towards the center of the objects.

How Gravitational Force is Non-Contact Force

All the objects with masses show some gravitational force which varies with respect to the distance of separation between two objects into consideration joint by a single line. The force experienced by both the objects on one another is the same.

little boy paint
Ball in the air experiences a gravitational force

Have you ever noticed when the ball is thrown in the air, it will stop accelerating for very finite milli-seconds when it is reached at its highest peak and then the speed of the ball will exponentially increase until it bounces the ground? At the peak, the ball gains the potential energy and is gradually converted into kinetic energy and a ball accelerates at faster rates, because the gravitational force on the ball increases with decreasing distance. The distance covered by the ball while approaching the ground is a square time of the distance elapsed by it.

Well, the gravitational force is a force between the Earth and the ball, the force exerted by each are equal in magnitude and acts in an opposite direction. Farthest the body, less is the gravitational force experienced on each other.

Unit of Gravitational force

The unit of gravitational force is Newton, named after the scientist Isaac Newton for his discovery.

The universal gravitational constant G has a value 6.67*10-11 N.m2/kg2. Substituting this in a gravitational force formula in CGS unit we gets

CodeCogsEqn 50

Hence, the unit of the gravitational force is Newton.

Read more on Is Magnetic Force A Contact Force: Why, How, When and Detailed Facts.

Frequently Asked Questions

What is the gravitational force between the Earth and the Sun?

Because of the presence of the gravitational pull between the Earth and the Sun, the Earth revolves in an orbit around the Sun.

We know:

The mass of the Earth ME= 6*1024

The mass of the Sun Ms= 2*1030

The distance between the Earth and the Sun d= 1.5*1011

The gravitational constant G = 6.67*10-11

Therefore,

CodeCogsEqn 51

The gravitational force between the Sun and the Earth is approximately

What is the gravitational force between the Sun and Jupiter?

Planet Jupiter is the largest juvenile planet in our solar system and it pulls all the terrestrial bodies approaching our planet Earth.

The mass of the Jupiter M= 1.9*1027 kg

The mass of the Sun Ms= 2*1030 kg

The distance between the Sun and Jupiter is d = 7.8*1011 m.

CodeCogsEqn 52

Therefore, the gravitational force between the Sun and the Earth is approximately 42*1022

The gravitation force between the Sun and Jupiter is more than the gravitation force between the Earth and the Sun is because the mass of the planet Jupiter is much greater than that of the Earth.

How are the satellites launched in space?

The satellites are launched into space on rockets with tons of propellant to produce enough trust to boost away from the Earth’s atmosphere.

Once the rocket reaches a particular distance in space, from where there are no chances of a satellite falling back into the Earth’s atmosphere or returning back on the Earth, the rocket will release the satellite into the space or an orbit of any planet on which the studies are to be carried out. The satellite takes the momentum from the rocket to enter the orbit of the planet. The gravity of the planets attracts the satellite towards it while the momentum of the satellite acts perpendicular to the direction of the gravity which keeps the satellite in motion and revolves around the planets in an orbit.

Also Read:

Is Magnetic Force a Contact Force?

is magnetic force a contact force

Magnetic force is a fundamental concept in physics that has been extensively studied and understood. This blog post aims to provide a comprehensive and technical guide on the nature of magnetic force, specifically addressing whether it is a contact force or a non-contact force.

Definition and Explanation of Magnetic Force

Magnetic force is a type of force that arises from the interaction between magnetic fields and moving charges or other magnets. It is a long-range force, meaning it can act over significant distances without physical contact between the objects involved.

The magnetic force is described by the following equation:

$$\vec{F} = q\vec{v} \times \vec{B}$$

Where:
– $\vec{F}$ is the magnetic force (in Newtons, N)
– $q$ is the charge of the particle (in Coulombs, C)
– $\vec{v}$ is the velocity of the particle (in meters per second, m/s)
– $\vec{B}$ is the magnetic field (in Teslas, T)

This equation shows that the magnetic force is perpendicular to both the velocity of the charged particle and the direction of the magnetic field.

Measurable Data on Magnetic Force

is magnetic force a contact force

Magnetic Field Strength vs. Distance

One of the key characteristics of magnetic force is its dependence on the distance between the interacting objects. Experiments have shown that the strength of a magnetic field decreases with increasing distance from the magnet. This relationship can be expressed mathematically as:

$$B = \frac{\mu_0 m}{4\pi r^2}$$

Where:
– $B$ is the magnetic field strength (in Teslas, T)
– $\mu_0$ is the permeability of free space (4$\pi \times 10^{-7}$ T⋅m/A)
– $m$ is the magnetic moment of the source (in A⋅m^2)
– $r$ is the distance from the source (in meters, m)

By plotting the magnetic field strength as a function of distance, a clear inverse relationship can be observed, demonstrating the non-contact nature of magnetic force.

Force on a Current-Carrying Wire

Another way to measure the magnetic force is by considering the force exerted on a current-carrying wire placed in a magnetic field. The force on the wire is given by the equation:

$$\vec{F} = I\vec{L} \times \vec{B}$$

Where:
– $\vec{F}$ is the magnetic force (in Newtons, N)
– $I$ is the current in the wire (in Amperes, A)
– $\vec{L}$ is the length of the wire (in meters, m)
– $\vec{B}$ is the magnetic field (in Teslas, T)
– $\theta$ is the angle between the current and the magnetic field (in radians)

This equation shows that the magnetic force on the wire is proportional to the current, the length of the wire, and the strength of the magnetic field, but it is independent of the distance between the wire and the magnet, further demonstrating the non-contact nature of magnetic force.

Deflection of a Compass Needle

Another experiment that can be used to study the magnetic force is the deflection of a compass needle as a function of distance from a magnet. It has been observed that the deflection of the compass needle decreases as the distance from the magnet increases, again confirming the non-contact nature of magnetic force.

Theoretical Explanation of Magnetic Force

The magnetic force is a result of the interaction between magnetic fields and moving charges or other magnets. This interaction is mediated by the exchange of virtual photons, which are the force carriers of the electromagnetic force.

When a charged particle moves through a magnetic field, the magnetic force exerted on the particle is perpendicular to both the velocity of the particle and the direction of the magnetic field. This is because the magnetic force is a cross product of the velocity and the magnetic field, as shown in the equation earlier.

The magnetic force is a non-contact force because it can act over significant distances without physical contact between the objects involved. This is due to the fact that the magnetic field can extend beyond the physical boundaries of the magnet or current-carrying wire.

Examples and Applications of Magnetic Force

Maglev Trains

One of the most prominent applications of magnetic force is in the design of maglev (magnetic levitation) trains. These trains use strong magnetic fields to levitate the train above the track, eliminating the need for physical contact and reducing friction. This allows maglev trains to achieve much higher speeds than traditional rail-based transportation.

Medical Equipment

Magnetic force also plays a crucial role in the design and development of medical equipment. Clinical engineers use data related to magnetic fields to ensure that new medical devices do not interact with other devices or implants in a way that could cause harm to patients. This is particularly important for devices that use strong magnetic fields, such as MRI (Magnetic Resonance Imaging) machines.

Numerical Problems and Calculations

Problem 1: Calculating the Magnetic Force on a Moving Charge

A charged particle with a charge of 1.6 × 10^-19 C is moving at a velocity of 1 × 10^6 m/s in a magnetic field of 0.5 T. Calculate the magnitude of the magnetic force acting on the particle.

Given:
– Charge of the particle, $q = 1.6 × 10^-19 C$
– Velocity of the particle, $v = 1 × 10^6 m/s$
– Magnetic field strength, $B = 0.5 T$

Using the equation for magnetic force:
$$F = qvB\sin\theta$$

Since the velocity is perpendicular to the magnetic field, $\sin\theta = 1$. Therefore, the magnetic force is:
$$F = (1.6 × 10^-19 C) × (1 × 10^6 m/s) × (0.5 T)$$
$$F = 8 × 10^-13 N$$

Problem 2: Calculating the Magnetic Field Strength at a Given Distance

A bar magnet with a magnetic moment of 0.5 A⋅m^2 is placed in a vacuum. Calculate the magnetic field strength at a distance of 0.2 m from the magnet.

Given:
– Magnetic moment of the magnet, $m = 0.5 A⋅m^2$
– Distance from the magnet, $r = 0.2 m$

Using the equation for magnetic field strength:
$$B = \frac{\mu_0 m}{4\pi r^2}$$

Substituting the values:
$$B = \frac{(4\pi × 10^-7 T⋅m/A) × (0.5 A⋅m^2)}{4\pi (0.2 m)^2}$$
$$B = 0.125 T$$

These numerical problems demonstrate the application of the equations and principles discussed earlier, providing a deeper understanding of the quantitative aspects of magnetic force.

Conclusion

In conclusion, magnetic force is a non-contact force that arises from the interaction between magnetic fields and moving charges or other magnets. The measurable data, including the inverse relationship between magnetic field strength and distance, the force on a current-carrying wire, and the deflection of a compass needle, all support the non-contact nature of magnetic force.

The theoretical explanation of magnetic force, based on the exchange of virtual photons, further reinforces the understanding of magnetic force as a long-range, non-contact force. The examples and applications of magnetic force, such as in maglev trains and medical equipment, highlight the practical significance of this fundamental concept in physics.

By providing a comprehensive and technical guide on the nature of magnetic force, this blog post aims to equip physics students and enthusiasts with a deeper understanding of this important topic.

References

  1. Griffiths, D. J. (2013). Introduction to Electromagnetism (4th ed.). Pearson.
  2. Halliday, D., Resnick, R., & Walker, J. (2013). Fundamentals of Physics (10th ed.). Wiley.
  3. Serway, R. A., & Jewett, J. W. (2014). Physics for Scientists and Engineers (9th ed.). Cengage Learning.
  4. Tipler, P. A., & Mosca, G. (2008). Physics for Scientists and Engineers (6th ed.). W. H. Freeman.
  5. Young, H. D., & Freedman, R. A. (2016). University Physics with Modern Physics (14th ed.). Pearson.

Bar Magnet Uses: 5 Exhaustive Facts and Detailed Insight

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In this article, we are going to discuss various applications of the magnet, bar magnet uses, and some details and facts.

The following is a list of some applications of the bar magnet.

What is a bar magnet used for

The bar magnets are widely used in chemical industries, factories, mines, as small tiny chips in electronic devices like TV, computers, mobiles, hard disk, etc.; in toys, and various other electronic devices.

MRI machines: The magnetic resonance imaging machines produce magnetic fields of range 0.5 Tesla to 2.0 Tesla; are used to take pictures of the bones, organs, and tissues of human bodies for detailed studies.

Magnetic therapy: The human body is embodied with a number of molecules that produce small electric currents and this results in a succession of trivial magnetic effects in the human body. When certain health issues arise that are commonly caused by major exposure to radiation, these electromagnetic effects experienced by the body become unstable.

Keeping the body in close contact with a magnet will help in stabilizing the electromagnetic field of the body. This is achieved by using magnetic ornaments, wearing shoe insoles, special mattresses, etc. But too much exposure to the magnetic field causes fibromyalgia, insomnia, arthritis like diseases.

Curing cancer: There are no cures for cancer at present, but there is an alternate treatment to remove the cancerous cells by using magnetic therapy and minimizing the harm, and preventing the danger caused to the immune system. It is a potential treatment that kills cancerous cells. Studies have shown that regular exposure to the magnetic field can kill the most harmful cancerous cells from the body.

Industrial use: Magnets are widely used in industries for collecting loose metals in products. In some industries, magnets are even used to retain the magnetic properties of other ferromagnetic materials and devices.

Chemical use: The magnetic stirrers are used for stirring the mixture to facilitate the mobility of the magnetic materials.

Magnetometer: The first magnetometer was designed by the famous mathematician Carl Friedrich Gauss, which consist of a bar magnet suspended horizontally by a gold fiber. It is a device used to measure the magnetic force, magnetic dipole moments, the direction of the magnetic field, magnetic field strength, or relative change in a magnetic field.

The magnet is stable and aligned in the direction of the field until no external effects are influenced for a change in the magnetic field set up by the magnet. The gravity of the Earth may affect the magnetic field. Hence, the magnetometer is used in geographical and archaeological surveys as a metal detector, in drilling processes, etc.

Computers: The bar magnets are used in an electronic device are tiny chips, a magnetic element present on a hard disk helps to store the data on the computer which is read by the computer to extract the information on command.

Television: In TVs also, small bar magnets are used. It consists of a small coil of a wire and a magnet, when the current pass through this coil the electrical signals are transformed into sound vibrations.

Generators: When the current flows through the coil inside the motor, due to the presence of the magnet, the electromagnetic force will induce in the coil which will result in the rotation of a motor, thus converting electric energy into mechanical energy.

Mines: The ore extracted from the Earth’s crust comes with many impurities. The valuable elements are then separated using various techniques and one such method is a magnetic separation method. In this method, magnetic separators is used which consist of a rubber belt moving over two rollers. The crushed ore is carried on this moving belt and the magnetic roller on the other end collects the magnetic ores.

bar magnet uses
Magnetic Separation Method;
Image credit: brainly

Magnetic ornament: Magnet is believed to take out impurities from the human body when it is in contact with skin. Hence, a magnet is kept in touch with the body wearing magnetic bracelets, jewelry, etc.

Food processing industries: Food processing are a major industry for the production, distribution, and supply of food. To produce the food in large quantity the mechanized tools and other equipment are used to make the process easy, efficient, and productive.

circular magnetic grill
Magnetic grill;
Image credit: Indiamart
052 T18Trapwdropbolt6
Magnetic traps;
Image credits: thermofisher

The magnets are used in food processing industries to separate metallic pieces from grains, pulses, cereals, etc. Magnetic grills are used to separate ferromagnetic contaminants from granular materials. Magnetic traps are used to remove iron impurities or ferrous irons from milk, buttermilk, cold drinks, oils, etc.

Bar magnet as a compass: A bar magnet always aligns with respect to the Earth’s magnetic field. The south pole of the magnet faces the North pole of the Earth and the north pole of the magnet towards the south pole.

Toys: The bar magnets are often used in toys such as cars, penguin ride, etc. that is responsible for the acceleration of the car or a penguin climbing the steps of the slider.

To separate metals from the garbage: The garbage comes along with a lot of waste products. The bar magnet is used to separate the metallic tools from the garbage. Most of the magnetic metals and equipment are sorted out from the garbage by attaching a large bar magnet on the crane and running it over the dumped garbage. The attached magnetic objects are then collected separately, stored, and processed separately.

Bar magnet as a hook: The key chains are mostly made up of stainless steel, nickel, zinc alloy, etc; which easily attracts towards the magnet; and hence, a bar magnet can be used to hang the keys.

bar magnet
Keys hanging on a magnet; Image credit: pinterest

Drawers and containers: The bar magnet is fixed on the edge of the drawers or containers with the clamp fixed on the opposite edge of the container made up of a ferromagnetic material that tends to automatically close when opened.

Magnetic Transformer: The transformer is a device that transfers electrical energy from one circuit to another without changing the frequency. The bar magnet is used in the transformer to magnetically couple the current produced in both the coils. The varying electric current induces variations in the electromagnetic force across the coil wounded on a transformer and it induces the voltage.

This effect is amplified by increasing the number of turns in a coil and ofcourse by using a magnet. These are mostly used in microwave circuits and circuit that produces high frequency.

Electric bells: The electric bells works on the application of electromagnet. When the current is applied to the circuit, the rod becomes magnetic and attracts the iron attached to a clapper, and produces a buzzing or ringing sound. These are used in schools as doorbells, fire alarms, in a railway station, in industries.

bell Diagram
Electric bell diagram;
Image credit: scienceprojects

Electric guitar: The alnico and ceramic magnets are mostly used in electric guitar pickups. Pickups consist of wire and a magnet; different tones can be adjusted by choosing different pickups on guitar.

pickups
Electric guitar pickups;
Image credit: mk-guitar

Bar Magnet Uses in Laboratory

There are various uses of a bar magnet in the laboratories. They are used as stirrers to allow the mixture of the cations and anions in the chemical solution. Bar magnets are also used on the containers to keep them tightly closed. The bar magnet is used in various magnetic experiments like the experiment of Faraday and Henry, to see the presence of current in the coil by connecting the galvanometer, the deflection is observed on a galvanometer when the bar magnet is moved towards the coil.

A bar magnet is also used in various devices like galvanometer, ammeter, voltmeter, etc., in experiments like hall effect, magnetron, to study the magnetic field, flux density, force of attraction and repulsion, etc.

The pencil magnets are mostly used by geologists. It has a stainless steel wire, when it comes in contact with the magnetic substances or rock which constitutes magnetic composition then this metallic wire pivots.

What is bar magnet

A bar magnet is an artificial permanent magnet made up of iron, steel, or an alloy of iron. The shape of a magnet resembles like a bar and hence the name. It has two poles of two different charges; one is attractive towards the ferromagnetic materials and the other repels away.

Properties of the Bar Magnet

The bar magnet aligns in the direction of the Earth’s magnetic field when kept freely suspended in the air.

Even after cutting a bar magnet into small pieces, it will behave the same as a bar magnet.

The magnetic field strength of the bar magnet is strongest at the edges of the pole and weakest at the center of the bar magnet.

The direction of the field lines outside the bar magnet is from the North Pole to the South Pole; whereas the direction of the field lines inside the magnet is from the South pole to the North Pole.

The two like poles of the magnet, South-South or North-North pole will repel away from each other; whereas two unlike poles, South-North pole of the magnet will attract towards each other.

The intensity of the magnetic field produced by the bar magnet decreases as the distance between the poles increases.

Classifications of magnets

The magnets can be classified as follows:-

Natural magnets: Natural magnets are those which are readily available on the Earth. Examples could be magnetite, hematite. Both the minerals are found mostly in the laterite soil. The naturally occurring magnets have weak magnetic forces.

Artificial magnets: Artificial magnets are man-made magnets. These magnets have high permeability and produce a strong magnetic field. These magnets are made up of alnico, neodymium, ferrites, etc.

Read more on What is the Magnetic Field Around a Bar Magnet.

Frequently Asked Questions

Does the magnetic strength of the bar magnet depends upon the distance?

The magnetic field strength is defined as the density of the flux lines crossing the unit length of the material.

The magnetic strength of the bar magnet is more at the edge of the poles and weaker at the middle of both the poles of the bar magnet. The magnetic field decreases as the distance from the poles increases and varies inversely to the cube of the distance between the pole and the point of consideration.

What is a magnetosphere?

The magnetic field lines of the Earth are emanating from the North Pole to the South Pole and run parallel around the middle of the Earth’s surface.

This implies that the magnetic field in the middle of the Earth is negligible. The layer formed due to the magnetic field lines 65,000kms above the Earth’s surface is known as a magnetosphere.

What is a Helmholtz coil?

A Helmholtz coil is used to cancel the external magnetic fields of the Earth and for producing uniform magnetic field intensity nearest to zero.

It consists of two electromagnets, a pair of circular loops wounded with the number of turns of a wire; carrying a current I, and both the loops placed on an equal axis separated by some distance. The current circulating in these coils produces a homogeneous magnetic field in the mid-axis between the two circular coils.

Also Read:

What Is The Magnetic Field Around A Bar Magnet: Exhaustive Facts On Various Objects

bars

In this article, we are going to see what is the magnetic field around a bar magnet and Where is the magnetic field of a bar magnet strongest.

The magnetic field caused by the presence of the bar magnet is extreme at the edges of the poles and is very poor at the middle of the bar magnet.

What is a Bar Magnet

A magnet appearing like a bar, and hence called a bar magnet has two poles, the poles of the bar magnet are protected from demagnetizing the magnet using iron plates on both the poles.

A bar magnet is composed of ferromagnetic material that retains its magnetic properties even in the absence of an external field and hence is a permanent magnet.

On hanging freely in the air, the bar magnet aligns itself in the North-south direction. The magnetic dipoles inside the bar magnet experience the magnet force due to the Earth’s magnetic field and align in the direction of the field. Hence, a bar magnet can therefore be used to find the direction same as a compass.

Types of Bar Magnet

There are two types of the bar magnet, they are:-

1) Rectangular bar magnet: This magnet has four rectangular faces painted and two square shape poles. The edges of this bar magnet are rectangular in shape and hence the name rectangular bar magnet.

bars
Rectangular Bar Magnets; Image credit: mfidie

2) Cylindrical bar magnet: The edges of the magnet are circular and therefore called cylindrical bar magnets. The outer curvature of this magnet is coloured.

Cylindrical
Cylindrical Bar Magnets;
Image credit: hsmagnets

Where is the Magnetic Field of a Bar Magnet Strongest and Why

The magnetic field is strongest at the edges of the poles of the bar magnet.

If we take a simple example that we probably have performed as the first experiment at schools when were introduced about the magnetic field, an experiment with a bar magnet and an iron foils. The bar magnet when placed in a tray of iron foils, the iron foils are arranged around the bar magnet in well-aligned concentric circles without overlapping.

magnetic field
Magnet field by a bar magnet;
Image credit: comnewsscience

The majority of the irons are gathered near the North and the South poles of the bar magnet. This is because; the magnetic field lines are originating from the poles. The strength of the field weakens drastically as the distance from the poles widens.

Secondly, the bar magnet actually acts as a dipole, the negative and positive particles spin are aligned according to the magnetic field of the Earth. Dipoles themselves behave like a small tiny magnet. Even if we cut the bar magnet further into pieces, it will show the same behavior forming two poles of the opposite charges like a bar magnet.

The magnetic dipoles in the magnet will always align themselves as per the magnetic field. The positive and negative spins will try to align towards the poles of the bar magnet thus intensifying the strength of the magnetic fields at the poles.

Where is the Magnetic Field of a Bar Magnet Weakest

If we look into the same experiment as mentioned above; we shall see, there are hardly any iron foils attached on the middle portion of the bar magnet, nor you will find any field lines originating from this part of the magnet and are almost parallel to the length of the bar magnet.

Also, it is been observed that the magnetic field lines which are running parallel to the length of the bar magnet are separated from each other making a gap that widens every loop. While at the poles, the magnetic lines are more densely without forming any gap.

The magnetic field strength of the bar magnet through intense at the poles will start faltering as the distance between the poles increases.

The tiny dipoles inside the bar magnet always align themselves in the direction of the Earth’s magnetic field, hence the spins are oriented towards each pole.

The parallel aligned dipoles show both attraction and repulsion thus neutralizing the effect of the magnetization; there is a presence of a magnetic field but comprises weaker strength of the field. In consequence, diminishing the magnetic field at halfway from the poles of the bar magnet.

Is a Bar Magnet Surrounded by a Magnetic Field

The dipoles inside the ferromagnetic material of what the bar magnet is comprising of, possesses the magnetic dipole moments which are responsible for the generation of a magnetic field of a bar magnet. Being a permanent magnet, it will attract ferromagnetic materials towards it, while showing some force of attraction or repulsion on other magnetizing material when placed near the bar magnet and not too far.

The magnetic force around the bar magnet will act only when the substance is placed in its field. Outside the magnetic field of the bar magnet, evidently, the strength of the field is zero as there are no magnetic flux lines flowing in this region.

Being magnet will show some forces of attraction and repulsion in an area surrounded by it, this implies that the magnetic field does occur around the magnet, which is represented as a magnetic flux oriented in concentric circles, beyond this range of magnetic field; no effect of the magnet is observed.

How to Draw Magnetic Field Lines Around a Bar Magnet

The magnetic field lines are represented as the flux lines. These flux lines form concentric closed loops. The magnetic field produced by the bar magnet is represented by flux lines that are originating from one pole and terminate into another pole of the bar magnet.

Hence, the magnetic field lines can be drawn originating from the North Pole and entering in the South pole forming close loops, and these loops are separated from one another at a certain distance while running parallel to the length of the bar magnet and this gap widens for every loop, on the contrary, the magnetic lines are drawn dense at the poles.

No magnetic field lines should touch the middle section of the bar magnet as the magnetic field is negligible in this area and has a weak force of attraction or repulsion.

What is the Direction of Magnetic Field Lines Outside a Bar Magnet

what is the magnetic field around a bar magnet
Magnetic field direction; Image credit: teachoo

The magnetic field of the bar magnet is due to the presence of the dipole. The positive and the negative charges of a particle separated by a small distance due to some external field applied is called a dipole. These dipoles are line-up in accordance with the magnetic field. Hence, in absence of a magnetic field, the dipoles inside the bar magnet are positioned as per the Earth’s magnetic field. This orientation of the dipoles inside the bar magnet is then responsible for the direction of the magnetic field lines generating outside the bar magnet.

The dipoles are aligned parallelly in the direction from the South Pole to the North and hence the direction of the magnetic field lines outside a bar magnet are arising from the North pole to the South.

Is the Magnetic Field Same all Around a Bar Magnet

The magnetic field depends upon the strength and density of the magnetic flux lines and varies with respect to the distance from the poles. The intensity of the magnetic field is directly proportional to the magnetic flux density. The flux density varies with distance.

The magnetic field produced by the bar magnet is at a peak near the edges of the poles. The weak force of attraction and repulsion is experienced at the middle part of the bar magnet.

The reason why I am considering both attraction and repulsion in the middle portion of the bar magnet is due to the fact that the dipoles are arranged across the length of the bar magnet are parallel to the magnetic flux lines in the region outside the magnet, the dipole itself behaves like a tiny magnet.

The parallelly aligned dipoles show the force of attraction as well as repulsion from two different ends of the dipole depending upon the orientation of the spin of the charge. This results in neutralizing the effects of pulling and pushing away and weakens the magnetic field strength.

Thus the magnetic field strength is highest at the edges of the poles of the magnet. The strength decreases as the distance from the poles across the length of the bar magnet increases. The same is the effect around the bar magnet. As the distance from the magnetic poles increases the strength of the field will also decrease as we go far from the poles.

Magnetic Force Imposed by the Bar Magnet on Various Objects

The bar magnet will show the force of attraction when the ferromagnetic materials like objects made up of iron, steel, or an alloy of irons are brought in closer contact with the magnet.

Whereas, it will show repulsive forces when comes in contact with the substances having diamagnetic characteristics; for example, mercury, water; and will experience the weak force of attraction with objects like aluminum, tungsten, etc. which are paramagnetic substances.

Read more on Magnetic Field Vs Magnetic Field Strength: Different Aspects and Facts

 

Frequently Asked Questions

If the bar magnet of length 10cms kept on a table experience the magnetic strength 30 cms away from the magnet, then calculate the magnetic field strength of the bar magnet. The horizontal component of the Earth field is 0.34G.

Given:-

Horizontal component of the Earth

BH=0.34G=0.34*10-4

2l= 10cms; => l=5cm=0.05m

t=30cms = 0.30m

Neutral point is obtained on the axial line.

Baxial=BH

CodeCogsEqn 43 2

[

CodeCogsEqn 44

CodeCogsEqn 45

[0.34*103*(0.0875)2]/(2*0.30)

=4.34Am2

Hence the strength of the magnetic poles of the bar magnet is

m=M/2I=4.34/10=0.434Am

What are the different uses of bar magnets?

A bar magnet is used for various purposes may be industrial, electronics, chemical industries, laboratories, etc.

The bar magnet is used to separate magnetic substances from the heap of mixtures, for stirring the chemical mixture to facilitate the movement of the magnetic substance, in electronic devices like TV, microphones, mobiles, etc.; it is used as a small chip in the electronic devices.

Why does bar magnet have the North Pole and the South Pole?

When the bar magnet is suspended in the air, it will continuously show harmonic motion until it gets aligned in the direction of the Earth’s magnetic field.

Due to the separation of charges inside the magnet, one end of the bar magnet becomes more positive and the other is more negative. The magnetic dipoles inside the bar magnet experience the Earth’s magnetic force and are aligned with respect to the Earth’s magnetic field. The magnet has two poles same as the Earth, and in a free suspended position in the air, it will align with respect to the Earth’s magnetic field that is in the north-south direction. Hence, the names the North and the South pole to two different poles of a bar magnet.

Does the magnet work in space?

Yes. The magnet can be used in space even in the absence of an atmosphere.

As the magnetizing dipole field inside the magnet is permanent and zero work is required to build the magnetic field around the magnet, it will definitely work in space as well.

Read more about Magnetic Field Lines Around A Magnet.

Also Read:

Magnetic Force Examples: Detailed Insights

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In this article, we are going to discuss some magnetic force examples and understand its application in more detail.

Following is a list of some examples and applications of a magnetic force that we are often using and are basically working on the application of a magnetic force:

Examples of the Magnetic Force and Some Application

Magnetic force can be converted to another form such as mechanical to mechanical in attraction and repulsion; mechanical to electrical in generators, microphones; electrical to mechanical in motors, loudspeakers; mechanical to heat energy as eddy current, hysteresis torque devices, etc. and hence magnetic force has wide application in industries, factories, electronic devices, laboratories, etc. Let us discuss some examples of the magnetic force.

Two Bar Magnets

The bar magnet has two poles, one pole of the magnet carries more number of protons having a positive charge, thus making it positive, and another pole constitutes more number of electrons, hence negatively charged.

The positive pole of the magnet will tend to attract towards the negative pole of another magnet as the positive pole with more number of protons will tend to attract electrons from another pole of the magnet towards it and vice versa, thus both showing the forces of attraction towards each other.

Similarly, when two positive or negative poles are bought closer to one another, will show repulsion as the pole already having a majority of the protons will not accept more protons towards it, or a pole with the majority of the electrons will not pull more electrons towards it, hence the force of repulsion is seen by both the poles of the magnet.

This follows Newton’s Third Law, according to which “Every action has an equal and opposite reaction.”The magnitude of the force experienced by each of the poles during attraction or repulsion is always equal, and the force always acts in the opposite direction.

If the positive pole of the magnet is brought closer to the neutral object, then the electrons from the object will get attracted towards the positive charges thus gathering at one side of the object and repels the protons away from it leaving behind the protons on the other side. And thus, the protons and the electrons will get separated from the neutral object forming two different poles of the charged particles.

Current carrying wire

magnetic force examples
Conductor placed in a magnetic field

The above diagram represents the conductor of length “L” carrying a current “I” placed in the magnetic field. On application of current, the charges in the conductor will show some mobility and an effect so produced due to the presence of magnetic field is called electromagnetism. The force experienced on the unit length of the wire is given as

F=I(L*B)

If is an angle between the current-carrying wire and the direction of a magnetic field, then the magnitude of the force is

F=ILB\sinθ

This equation shows the relationship between current and a magnetic field.

Two parallel current-carrying wires

magnetic force examples
Force of attraction and repulsion by the current-carrying conductor based on the direction of the current.

Consider two current-carrying wires placed parallel. The magnetic field produced by a current-carrying wire 1 at a distance r from it is given by

B=μ0I1/2πr

The force experienced due to the presence of the second current-carrying wire in parallel with the first carrying current I2 is

F=I2LB1

F=μ0I1I2L/2πr

The force per unit length

F/L=F=μ0I1I2/2πr

The two wires will show some force of attraction when the current flowing in both the wires is in the same direction, likewise, both will repel away if the direction of current is in the opposite direction.

Some applications of the magnetic field

Compass

A compass is a device used to find the direction. It consists of a magnetic needle mounted on a small pin that always points towards the North Pole of the Earth. Since the Earth’s magnetic field is positioned in the North-South direction, the magnetic needle gets align itself in collaboration with the magnetic effect felt due to Earth’s magnetic field.

MRI Scanners

Magnetic Resonance Imaging machines are widely used in medical diagnoses. They produce large magnetic field strength and are used to take pictures of the human organs for detailed studies by passing the radio waves.

Electric Motors

A coil in a motor generates a magnetic field on the application of current. The magnetic field thus produces induces magnetic force with the magnet that causes motion or spinning of the motor. So basically, the magnetic force is utilized by the motor to create mechanical energy from electrical energy.

Speakers

Speaker, microphones are devices that come with an electromagnet that converts the electric signal into audible sound. The electromagnet is like a coil, when current flows through this coil it produces a magnetic field. This coil frequently attracts and repels from the magnet to produce an audio effect.

Refrigerators

Refrigerators have a magnet embedded in their door made up of weak ferromagnetic ceramics like barium ferrite or strontium ferrite. Due to this, the refrigerator door always apt to close itself whenever the refrigerator is opened.

Microwave

Ovens have a magnetron which is a vacuum tube designed to generate or amplify the microwaves by controlling the flow of an electron by applying an external magnetic field. A magnet is placed around this vacuum tube that provides magnetic force and causes the electrons to move in a loop. Thus generating heat and cooking food.

Cars

The car uses electromagnetic property inside the engine for its motion. A magnetic coil is attached to an axle. By turning this magnetic coil, the wheels are also made to turn, thus controlling the steering of the car.

Fans

The magnets in the rotor of a fan are repelled by the stators which increase the movement of the rotor. The electric current switches one of the sets of the magnet and hence, the rotor and stator repel themselves away from each other every cycle of the rotor. This is achieved by the application of the magnetic force.

Magnetic Force

Magnetic force is one among the four fundamental forces. The magnetic force acts perpendicular to the motion of the particles, thus opposing the motion of the charges; hence the charged particles tend to deflect due to the magnetic force. 

The magnetic force depends upon the charge and the velocity of the particle in a magnetic field and the external field applied to the conductor and is given by F=qvB. In presence of the external field, the electrons and protons align themselves according to the field applied. The magnetic field density depends upon the density of a magnetic flux crossing per unit cross-sectional area of the material.

Types of magnetic force

1) Attractive Force: When two poles of unlike charges are bought near, both the poles tend to attract towards each other. The force exerted by the poles on each other is known as an attractive force.

2) Repulsive Force: When the two poles of like charges are bought near, the poles repel away from each other. The force felt on each of the poles is known as a repulsive force.

Theory and the Classification of Magnetic Materials

According to the Pauli Exclusion Principle, “No two electrons will have the same quantum number. No more than two electrons can occupy the same orbital. Electrons present in the same orbital must have opposite or anti-parallel spin.

The electrons pair up with the electrons having an opposite spin and canceling out the magnetic moment produced by each other. Well, the unpaired electron shows the spin and orbital movement of the atom and gives the direction of the magnetic field.

Based on the number of free electrons available, various materials show different magnetic characteristics. If the number of available unpaired electrons is greater, then, the magnetic effects seen in the material will also escalate. The materials are classified as follows:-

Diamagnetic: Diamagnetic materials show the force of repulsion on both the poles of a magnet. These materials tend to oppose the magnetic flux through them and hence are repelled by the magnetic force. Examples: Carbon, Gold, Silver, water, etc.

Paramagnetic: Paramagnetic materials show properties of magnetization only when a strong magnetic force is applied to them. They are weakly attracted to either of the poles of a magnet. Examples: Oxygen, Aluminum, brass, etc.

Ferromagnetic: Ferromagnetic materials are highly magnetized materials. They have many unpaired electrons which are aligned forming colonies of charges and hence becoming highly attractive. They can retain their magnetization and even become a magnet. Examples: Iron, Nickel, Cobalt, etc.

On what factors does the magnetic force depend

The magnetic force basically depends upon the magnitude of the charge, the velocity of a charged particle, and the external magnetic force. In the electromagnetic region, this force is described as Lorentz force and is represented as:

F=q(E+v*B)

Force due to the magnetic field is given as

F=qvB

The magnitude of the magnetic force

F=qvB sin θ

Where θ varies from 0 to 1800 and <1800.

The direction of the force is found out using Fleming’s Right-Hand Rule and Right-Hand Grip Rule as shown below,

Right Hand Grip Rule

image
Right-Hand Grip Rule, Image Credit: Electrical4dummies

The right hand is imagined as the current carrying conductor. The direction of the current is symbolized by the thumb and the field lines are running around the conductor forming concentric circles as seen in the figure.

Fleming’s Right-Hand Rule

Magnetic Force
Fleming’s Right-Hand Rule, Image credits: Electrical4dummies

In Fleming’s Right-Hand Rule, the thumb shows the direction of force, while the index and middle finger indicate the direction of magnetic field and electric current respectively.

For a current carrying conductor placed in a magnetic field, the force experienced on a unit cross-section length of the wire is given as

F=qvB sin θ

because, velocity = distance/time

Hence, we can rewrite the above equation as:

F=a/LTBsin θ

Current is defined as a charge per unit time and given by I=q/t

Therefore, F=BILsin θ

Read more on “What Objects Have Magnetic Force: Exhaustive Facts On Various Objects“.

Frequently Asked Questions

What force is a magnetic force?

The magnetic force depends upon the majority of the charge carriers, the direction of a field and the current.

The magnetic force is basically the force of attraction and repulsion between the positive and the negatively charged particles.

Consider a wire placed between the two poles of the magnet. If the current flowing in a wire is 15A, find the magnitude and the direction of the force experienced on 10 mm length of the same wire if the magnetic field is 0.2T.

A magnetic field is perpendicular to the direction of the current flowing in the wire, therefore

sin θ=1

The force experienced on a 10mm section of the wire is

F=BIL=0.2T*15A*0.01m=0.01N

If the magnetic field lines are running towards North and the acceleration of the electrons is perpendicular to the direction of the field, then the force is exerted outward.

What material is used to make a horseshoe magnet?

A horseshoe magnet is a U-shaped magnet and both the poles are in the same direction that helps to create a strong magnetic field.

It is made up of AlNiCo an alloy of Iron and an iron bar is attached to the two poles of the magnet to prevent demagnetization. This was previously used in microwave ovens in the magnetron tube.

Also Read:

What Objects Have Magnetic Force: Exhaustive Facts On Various Objects

Unlike 300x91 1

In this article, we are going to study what objects have magnetic force and possess a force relevant to the field.

The two objects with a motion of charges in the same direction experience a magnetic force of attraction, whereas, the objects with charges moving in the opposite direction show repulsive force between them.

What is a Magnetic Force?

A magnetic field is produced when a conductor is placed in the electric field; an electromagnetic force is induced in the conductor due to the motion of the unpaired electrons.

The force experienced by the particle in the field opposing their motion is a magnetic force. A magnetic force may be attractive or repulsive based on the alignment of the magnetic dipoles inside the material.

Types of the Magnetic Force

Attractive Force: When the two objects having the dipoles arranged in the same direction tend to attract towards each other, the force experienced by the objects on each other is known as an attractive force.

What objects have magnetic force
Unlike poles attracts

Repulsive Force: Two objects having the dipoles arranged in the opposite direction tends to repel from each other, the force exerted by the objects on each other is called repulsive force.

Magnetic Force repels
Like poles repels

Do all objects have a magnetic force

The electrons pair with the opposite spin, which results in the cancellation of the magnetic field produced by each of the electrons. When the magnetic field is set up in the material, positive and negative carriers inside the material become mobile and arrange according to the external field exerted.

If the number of electrons available is greater, then, the magnetic effects seen in the material will also escalate. Based on these, the materials are classified as follows:

Diamagnetic: Materials that have no unpaired electrons shows diamagnetism, these material tends to oppose the magnetic flux through a unit cross-sectional area and are hence repelled by the magnetic force. Examples: Gold, Copper, Silver, H2O.

Paramagnetic: Material has an unpaired electron, and these unpaired electrons tend to align themselves in the direction of the applied external field, hence showing magnetic behavior in presence of the external field. Examples: Aluminum, Di-Oxygen, Lithium.

Ferromagnetic: Material is strongly magnetized in presence of the magnetic field and retains its magnetic property even in absence of the external magnetic field.  Examples: Iron, Nickel, Cobalt.

Read more on What Produces the Strength of a Magnetic Field.

What objects use magnetic force

The application of the magnetic force is widely used due to its attractive and repulsive behavior.

Devices like electric motors, door latches, speakers, data storage devices, refrigerators, compass, clinometers, microwaves, cars, etc. use a magnet.

Let us discuss some examples below to get an idea of the commonly used objects in our day-to-day life and whether these objects show magnetic behavior or not.

Is a paper magnetic

No. Paper is a bad conductor of heat and electricity as it is made up of carbon. A carbon atom has atomic no. 6 having 4 electrons in its outermost shell, which is a half-filled electronic configuration of an atom and the most stable state of the atom. The spin of all six electrons cancels the magnetic moment produced by each thus making the total magnetic moment zero. Hence, carbon shows no magnetic behavior.

Is glass magnetic

Glass is manufactured using Silicon Dioxide, Calcium Carbonate, and sodium carbonate. Silicon is a semiconductor, that is, it partly behaves as a conductor and partly as an insulator. It is a dielectric and can transmit electric force without conducting.

When the external field is very strong, the dipoles of the silicon glass may align in the direction of the fields. Glass has very low permeability and hence shows diamagnetic characteristics, but the percentage of composition of these elements is very negligible to make the glass magnetic. Some glasses are also made up of cobalt which shows magnetic behavior.

Is an iron nail magnetic

Yes, an iron nail is magnetic. The atomic number of Iron [Fe] is Z=26. The electronic configuration of this element is given by [Ar]3d64s2. The valence electron of Feis 8 and has 4 unpaired electrons. Hence, iron shows ferromagnetism and retains its magnetic property even in the absence of an external field.

Is a wood magnetic

Wood is an insulator. It is a bad conductor of heat and electricity, and hence no field is induced inside the wood and no field of attraction appears.

Is gold magnetic

Pure gold is not magnetic but shows magnetic behavior in presence of an external field. The electronic configuration of Ag: [Xe] 4f145d106s1. The 6s orbital has one unpaired electron which is a half-filled shell. Because of this unpaired electron, gold shows diamagnetic behavior in presence of the external field. Moreover, the magnetism of alloy of gold depends upon which metal is used to make an alloy with gold.

Is brass magnetic

Under normal circumstances, brass is not magnetic at all. It’s only when the strong magnetic field is applied to the brass metal, the electric current is set up inside the metal. This follows Lenz’s Law. When an electric current is set up inside the metal, it will show some interaction with the magnet.

Brass is an alloy of Copper [Cu] and Zinc[Zn] and shows a slight diamagnetic effect in presence of an external field, but it is very small to be noticed.

Is silver magnetic

The atomic number of silver [Ag] is 47 and the electronic configuration of Ag is [Kr]4d105s1. It has a half-filled, stable 5s orbital with one unpaired electron. Silver is not magnetic but will show some interaction with a strong magnet under the influence of Lenz Law which states that the current induced in the circuit due to the motion of the charged particles is directed to oppose the change in flux and hence exerts a force opposing the velocity of the particles.

The magnetic moments induced will produce an eddy current within the silver metal. This eddy current is responsible for the interaction of the metal with magnet. Hence, silver shows diamagnetism in presence of an intense magnetic field.

Are whiteboards magnetic

Whiteboards are not magnetic. Whiteboard mostly has steel sheets that provided magnetism across the surface of the board. Steel is an alloy of iron that has ferromagnetic characteristics.

What metal is magnetic

Magnetic materials are attracted towards the magnet and may even become magnetized. The ferromagnetic metals will definitely show magnetic effects naturally because they are magnetized. Even, the metals made from the alloys of the ferromagnetic material will show magnetic behavior. 

Is a chalkboard magnetic

Chalkboards are not magnetic but can be made magnetic using galvanized steel and by applying magnetic primer.

Is a penny magnetic

No. Penny is a coin made up of Bronze, an alloy of 95% copper and 5% Tin and Zinc. This alloy does not show any magnetic behavior.

Is plastic attracted to magnets

No. Polyethylene is the most commonly used plastic nowadays. Plastic is a bad conductor of heat and electricity, known as an insulator; hence does not consist of magnetic properties.

Is nickel magnetic

Yes. Nickel has atomic number 28. The electronic configuration of nickel is [Ar] 4s2, 3d8 and has two unpaired electrons. Hence, it shows ferromagnetic characteristics.

Can trees be magnetic

No. Wood is a bad conductor of heat and electricity. But, the tree has certain elements that may show magnetic characteristics.

Are Diamonds magnetic

No, because diamonds are made up of carbon which has 6 electrons, and all the electrons pair up with each other which cancels out the magnetic moment produced due to the spin of the electrons. Hence, the total magnetic moment by the carbon atom is nil and does not show any magnetic behavior. But some synthetic diamonds are magnetic because of some inclusions during their manufacturing.

Is Black Sand magnetic

Black sand is formed due to a result of the volcanic eruption. The molten magma is often comprised of Fe-rich lava. The mineral usually found in the area of volcanic eruption with more concentration of iron is magnetite. Magnetite being rich in Fe-concentration is ferromagnetic and hence the black sand is magnetic.

Is an aluminum can magnetic

Aluminum has atomic number 13. Its electronic configuration is 1s22s22p63s23p1. Since Al has only one unpaired electron the paramagnetism is expected, but aluminum is not magnetic under normal conditions. Only when it is introduced in the magnetic field region, small eddy currents are established inside the Al-metal which instigate magnetic dipoles and hence shows paramagnetism.

Is a lead solder magnetic

Lead with atomic no.82, [Xe] 4f14, 5d10, 6s2, 6p2; is not magnetic; but shows weak diamagnetism in presence of external magnetic field as it acquires magnetism in the direction opposite to the field.

Is there magnets in dirt

Yes. When we left the magnet in the open air, we will notice that the magnet will gather some dirt on it. Dirt gets magnetized only when we apply the magnetic field to it.

Is Sugar magnetic

The chemical formula of sugar is C12H22O11. It interacts in electromagnetic fields and thus can be affected by a magnetic field, but is not magnetic.

Is Salt attracted to a magnet

Rock salt shows very weak magnetism as it contains few paramagnetic or ferromagnetic minerals. Salt of cobalt shows very high magnetic behavior. NaCl is diamagnetic; all spins are paired in Na+ and Cl- ions.

Can magnets move water

Water is slightly repelled by a strong magnet. Water has 2 hydrogens and one oxygen atom, when both combine to form water, there are no free electrons left behind to attract anything towards it to pair, hence water is diamagnetic.

Read more on objects that produce a magnetic field.

Frequently Asked Questions

Does a magnet transform one form of energy to another?

A magnet transfers one form of energy into another without any loss of its energy.

Such as mechanical to mechanical in attraction and repulsion; mechanical to electrical in generators, microphones; electrical to mechanical in motors, loudspeakers; mechanical to heat energy as eddy current, hysteresis torque devices.

How a magnet affects the growth of the plant?

It is noticed that the plant grows faster when it is surrounded by a magnet on the soil.

A magnet attracts ferromagnetic elements from the soil towards it, which becomes easier for the roots of the plant to intake these elements and grow at a faster rate.

Also Read:

Magnetic Field Vs Magnetic Field Strength: Different Aspects and Facts

CodeCogsEqn 25 1

In this article, we are going to see the difference between the magnetic field and the magnetic field strength, some features, and facts.

A magnetic field is set up due to the motion of the charged particles and the captivation force is exerted in this region; magnetic field strength only intensifies this impact by increasing the magnetic flux density per unit length.

Magnetic Field Vs Magnetic Field Strength

Magnetic Field Magnetic Field Strength
The field produced around the magnetic material due to the motion of the charged particle is known as a magnetic field. Force experienced per unit length of a conductor for the magnetic flux to penetrate through the conductor is called magnetic field strength.
The magnetic field is stable around the magnet. Magnetic field strength varies with distance.
Magnetic field depends on the velocity of the particle, external field, and the charge of the particle. Magnetic field strength depends upon the magnetic flux, dipole moment, magnetic susceptibility, permeability, magnetization, and the number of charged particles.
The magnetic field is a vector quantity that has both magnitude and direction Magnetic field strength is a scalar quantity that has only the magnitude and no direction
SI unit of the magnetic field is Tesla SI unit of magnetic field strength is Amperes per meter
CGS unit of the magnetic field is Gauss CGS unit of magnetic field strength is Oersted

Let us closely understand the concept of the magnetic field and the intensity of the magnetic field.

In presence of the electric field, the charged particles are in a mobile state which produces a magnetic field. In the magnetic field region, the force perpendicular to the speed of the particle is emanated. In contrast, the magnetic field strength is a pressure experienced in that area relying upon the magnetic flux passing via a unit length of the material.

The magnetic field can be interpreted as field lines whereas magnetic field strength is a density of field lines crossing per unit cross-sectional area.

Let us don’t forget an easy instance of a bar magnet positioned in a tray of iron foils. We see that the iron foils are impeccably aligned around the bar magnet forming the closed loops.

Magnetic Field Vs Magnetic Field Strength
Traces of the alignment of iron foils around the bar magnet,
Image credits: comnewsscience

The concentric loops encircling the bar magnet move from the North Pole to the South Pole of the bar magnet, that means one pole is attractive and the alternative is repulsive. But, the direction of the flux flowing inside the bar magnet is aligned in the opposite direction. The magnetic field lines form the closed loops and never intersects. However, if overlapped, the path of the magnetic field isn’t unique.

The region surrounding a bar magnet in which this magnetic effect is observed is a magnetic field region. You will notice that more number of iron foils are attracted toward the magnet in the area circumjacent it, while the density of the field lines decreases as a gap between the magnet and a point of consideration increases. That is the strength of the magnetic field diminishes as we go away from the magnet, however, the magnetic field is stable.

Magnetic Moment and the Direction of a Magnetic Field

When the material having magnetic susceptibility greater than zero is placed in the electric field, the magnetic dipoles try to align themselves in the direction of the field. Due to the motion of dipoles, the magnetic field is installed in the material. The spin and orbital angular instigation of the electron and protons will decide the direction of the magnetic field.

During this alignment, there is a change in the concentration of positive and negative charge carriers per unit volume of the material. The charged carriers are aligned in the direction of the field forming the colonies. The more the number of the charged debris aligned in accordance with the magnetic field strength adds to the magnetization of the material.

The strength of the magnetic field is the force required for the magnetic flux to penetrate through the cross-sectional area of the material making it more magnetized. Hence the magnetic field strength primarily depends upon the magnetic field produced due to the motion of charged debris and the electric field implemented to the conductor and the magnetic flux density.

Read more on What Produces the Strength of the Magnetic Field.

Magnetic field and Intensity in free space and solid state

In free space, the magnetic field is linearly dependent on the intensity of the field, given by the relation:

B=μ0H

where B is the magnetic field,

m is a permeability of free space and

H is a magnetic field strength.

The material is said to be more permeable if more number of magnetic fluxes are penetrating through the material. In the magnetic solid, the same is given by the product of permeability and the sum of the intensity of the field and magnetization of the material.

B=μ0(H+M)

B=μ0H[1+(M/H)]

CodeCogsEqn 24 1

Where is a susceptibility.

The total magnetic moment induced per unit volume of a material is known as susceptibility and is inversely proportional to the strength of the magnetic field.

Motion of a Particle in a Magnetic Field

For a charged particle in an electric field, experiences both electric and magnetic forces, which is known an electromagnetic effect. It is formulated as:

CodeCogsEqn 25 1

Since the motion of the particle is perpendicular to the direction of the magnetic field applied, the force due to the magnetic field acts as a centripetal force on the particle as the force always acts towards the centre and produces circular motion perpendicular to the field.

In a uniform magnetic field, this circular motion remains unaffected thereby moving in a helical motion.

CodeCogsEqn 26

mv2/r=qvB

B=mv/qr=p/qr

The above solution indicates that the magnetic field is directly proportional to the momentum of the particle and inversely proportional to its charge and a radius of a helix.

Scalar and Vector Quantities

The magnetic field is a vector quantity that has both magnitude and direction while the magnetic field strength is a scalar quantity that has only the magnitude and no direction.

The sum of the resultant forces experienced by the particles in the presence of a magnetic field conclusive the strength of the magnetic field. The magnitude of the field is derived by the number of flux lines passing through per unit area.

Unit of Magnetic field and Magnetic Field Strength

The magnetic field is measured in Tesla, named after the well-known scientist Nikola Tesla, and the CGS unit is Gauss. One Tesla is given as N/m.A, that is, the force required for a charged particle to cross a unit length per ampere; which is the same as the magnetic flux.

The intensity of the magnetic field is current flowing per unit length of the conductor and is measured in terms of Oersted which is also represented as Ampere per meter.

Frequently Asked Questions

What is the reason behind the formation of a magnetic field of the Earth?

The magnetic field of the Earth prevents the ionized debris approaching from the Sun to enter the Earth’s atmosphere imparting a shield, thus guarding the atmosphere and existence on our planet.

The Earth’s core composes of the majority of Iron (Fe) which is ferromagnetic. As the molten lava is denser than the plates floating on the asthenosphere, the molten lava composed of Iron and nickel penetrates towards the core of the Earth. Due to the glide of molten iron, the convection current is generated that produces a magnetic field.

What is the range of magnetic field produced in a Magnetic Resonance Imaging (MRI) machine?

Magnetic resonance imaging machines are widely used in the hospital to take pictures of the anatomy of organs in the human body to take precise details.

The magnetic field produced by an MRI machine is in a range of 0.5 Tesla to 2.0 Tesla i.e. 5000 Gauss – 20,000 Gauss; whereas the value of the Earth’s magnetic field is just 0.5 Gauss.

Does the magnetic field of the Earth change frequently?

By studying the rock samples and using the radiometric dating techniques, it is viable to determine and calculate the magnetic field strength and the direction of the field of the Earth varied even for the past millions of years ago.

Yes, the magnetic field strength of the Earth changes frequently as the geo-tectonic activities are predominant and the oceanic crust forming alongside the mid-oceanic ridge indicates the imprints of the magnetic field during that precise time on the rock. The motion of the plates on molten magma gives the idea of the strength of the magnetic field.

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