Magnet Types, Applications And Associated Laws Explained In Detail

CONTENTS:

·       What is a Magnet?

·       Types of Magnet

·       Magnetic Field

·       Magnetic Flux

·       Magnetic Field due to an electric current

·       Ampere’s Law

·       Application of Ampere’s Law

·       Electromagnetic Induction

·       Faraday’s Laws of Electromagnetic Induction

·       Direction of induced EMF

·       Mutual induction

·       Self induction

What is a Magnet?

Magnet is a body having the property of attracting other magnetic materials such as iron. It produces a magnetic field external to itself.

Types of Magnet

There are various types of magnets depending on their properties. Some of the most well known are listed below.

·         Permanent magnets

These are the most common type of magnets that we know and interact with in our daily lives. E.g.: The magnets on our refrigerators. These magnets are permanent in the sense that once they have been magnetized, they retain a certain degree of magnetism. Permanent magnets are generally made of ferromagnetic material. Such material consists of atoms and molecules that each have a magnetic field and are positioned to reinforce each other. They do not lose their property of magnetism that’s why they are called permanent magnets.

·         Electromagnets

Electromagnets are extremely strong magnets. They are produced by placing a metal core (usually an iron alloy) inside a coil of wire carrying an electric current. The electricity in the current produces a magnetic field. The strength of the magnet is directly proportional to the strength of the current and the number of coils of wire. Its polarity depends on the direction of flow of current. While the current flows, the core behaves like a magnet. However, as soon as the current stops, the core is demagnetized. They are used in large cranes to lift cables, etc.

·         Temporary Magnets

Temporary magnets are those that simply act like permanent magnets when they are within a strong magnetic field. Unlike permanent magnets however, they lose their magnetism when the field disappears. Paperclips, iron nails and other similar items are examples of temporary magnets. Temporary magnets are used in telephones and electric motors amongst other things

Permanent Magnets	Electromagnets
A permanent magnet’s never loses its magnetic property.	An electromagnetic magnet only displays magnetic properties when an electric current is applied to it
Permanent magnet strength depends upon the material used in its creation.	The strength of an electromagnet can be adjusted by the amount of electric current allowed to flow into it
Used in fridge doors ,screwdrivers ,hybrid engines, VHS tapes, hard drives, etc.	Used in CD players, heads on Hard drives, automatic doors, electric windows, motors, cranes, etc.

Magnetic Field

Magnetic field is the space or region around a magnet or moving charge within which the effects of magnetism such as deflection of a compass needle can be detected. Magnetic field is a vector quantity and is represented by lines of induction.

Magnetic field lines connect the north and south poles of a magnet. Magnetic field lines are always given a direction, marked by an arrow; they always go from north to south and they never cross. The more field lines there are in a particular area, the stronger the magnetic field. With magnets the simple rule is ‘unlike poles attract, like poles repel’ in other words, a north pole will stick to a south pole but two north poles will resist being forced together.

Determination of the direction of the magnetic field

The direction of the magnetic field can be determined by using the right hand grip rule which states that:

“If a current carrying wire is grasped in the right hand with the thumb pointing in the direction of current, the curled fingers of the hand will circle the wire in the direction of magnetic field.”

It can also be determined by using Fleming’s left hand rule which states that:

“Stretch the first finger, second finger and the thumb of the left hand so that they are mutually perpendicular. The thumb will represent the direction of the magnetic field, the second finger will represent the direction of the motion of the positive charge, and the thumb will point in the direction of the force.”

Magnetic Flux

The total number of magnetic lines of induction passing through a surface is called magnetic flux. The magnetic field depends on the following factor:

1)      The greater the Magnetic field of induction “β”, the greater will be the magnetic flux. That is φm ∝ β

2)      The greater the Area of the surface “ΔΑ”, the more will be the magnetic flux. That is φm ∝ ΔΑ.

3)      Cosine of the angle θ between vector “β” and vector “ΔΑ”. The greater will be the value of cos θ,the greater will be the flux. That is  Δφm ∝ cos θ

From the above points it can be concluded that magnetic flux is the dot product of magnetic field of induction and unit vector.

Δφm= β.ΔΑ

The unit of Magnetic flux is Weber.

Magnetic Field due to an electric current

During the motion of a charged particle such as electron, proton or an ion, magnetic lines of force rotate around the particle. Since electrical current moving through a wire consists of electrons in motion, there is a magnetic field around the wire. The direction of this magnetic field can be determined by the help of right hand grip rule.

Ampere’s Law

Ampere`s law states that:

“The sum of the products of the tangential components of magnetic field of induction and the length of an element (ΔL) of a closed curve taken in a magnetic field is μο times the current enclosed.”

Mathematically,

Ʃβ. ΔL= μοI

Application of Ampere’s Law

Ampere’s law can be used to determine the magnetic field “β” due to current carrying conductors of simple shape such as solenoid and toroid, etc.

1) Magnetic Field of a solenoid

A solenoid is a long tightly wound cylindrical coil of wire. The turns of the winding are ordinarily closely spaced and may consist of one or more layers. When current is passed through a solenoid, a magnetic field is produced. The field lines inside the solenoid are nearly parallel to the axis of the solenoid (in the z-direction in figure below), uniformly distributed and close together. The field is thus uniform and strong.

On the other hand, Components of the magnetic field in other directions are cancelled by opposing fields from neighbouring coils. Outside the solenoid the field is very weak due to this cancellation effect and for a solenoid which is long in comparison to its diameter, the field is very close to zero.

Mathematically, the magnetic field of toroid can be represented by,

Β= μοNI

Where,

 μο is the permeability

N is the number of turns of the coil

I is the current flowing through the solenoid

2) Magnetic Field of a Toroid

Toroid is coil of insulated copper wire wound on a circular core. When a current is passed through a toroid, circular magnetic field is produced. The field inside the turns is strong but almost zero outside the toroid.

Mathematically, the magnetic field of toroid can be represented by,

Β= μοNI/2 πr

Where,

 μο is the permeability

N is the number of turns of the coil

I is the current flowing through the toroid

2 πr is the circumference of the circular solenoid

Electromagnetic Induction

The phenomenon of producing the EMF in a loop or coil by changing magnetic flux passing through it by moving a loop or coil across the magnetic field is called Electromagnetic Induction. This EMF is called Induced EMF. The electric current in the closed circuit is due to induced EMF is called induced current.

Methods of producing induced EMF:-

1)      By relative motion between a loop or a coil and a magnet:

When a magnet is moved towards a coil or a coil is moved towards the magnet, the flux through the coil changes and a current is induced in the coil. If the coil and the magnet are moved away from one another, again an induced EMF is produced but in opposite direction.

2)      By changing area of a loop or wire:

When the area of a loop of wire is changed either by sliding or twisting it in a magnetic field the magnetic flux changes which induces an EMF in the loop.

3)      By changing current in a nearby coil:

When current passing through a loop or coil is changed, the magnetic flux passing through another loop or coil changes due to which an induced EMF ( or induced current) is produced in it.

Faraday’s Laws of Electromagnetic Induction

Michael Faraday in 1831 created the following two laws of electromagnetic induction:

1) When magnetic flux changes through a circuit (loop or coil), an EMF is induced in it. This EMF lasts as long as the change in the flux through the circuit continues.

2) The magnitude of the induced EMF is directionally proportional to the number of turns of the coil and the rate of change of flux (that is flux linked) through the coil.

If the flux changes through by an amount of “Δθ” in time “Δt” through a coil of “N” turns, then the average induced EMF, Mathematically is given by:

E=-N Δθ/ Δt

Here the negative sign is due to lens law which indicates the direction of induced emf.

Direction of induced EMF

(1)   By Lenz’s law

The direction of induced EMF can be determined by using Lenz’s law which states that:

“The direction of induced current (or induced emf) in a conductor is always such that it opposes the cause which produces it”

(2) By Fleming’s Left hand rule.

Mutual induction

This is the phenomenon in which a change of current in one coil causes an induced emf in the other coil. The coil in which the current is altered is called primary coil and the other one is called coil.

Mutual induction occurs because the change of current in primary coil produces a change in magnetic flux which is linked to the secondary coil and causes an induced emf.

The direction of induced current in secondary coil is opposite to that in primary coil in accordance to the Lenz’s law.

The induced emf in secondary coil is directly proportional to the rate of change of current in primary coil. Mathematically it can be written as:

Emf ∝ ΔI/Δt

Emf =constant ΔI/Δt

Emf=-M ΔI/Δt

Where M is a constant called Mutual inductance and its unit is Henry.

Self induction

This is the phenomenon in which a change of current in a coil produces and induced emf in the same coil due to change of flux passing through it, is known as self induction.

The self induced emf is directly proportional to the rate of change of current in the coil itself. Mathematically it can be written as:

Emf ∝ ΔI/Δt

Emf =constant ΔI/Δt

Emf=-L ΔI/Δt

Where L is a constant called Self inductance and its unit is Henry