# Faraday’s Laws of Electromagnetic Induction

Faraday’s law of electromagnetic induction (referred to as Faraday’s law in this article) is a basic law of electromagnetism predicting how a magnetic field will interact with an electric circuit to produce an electromotive force (EMF). This phenomenon is known as electromagnetic induction.

Faraday’s law of induction explains the working principle of electrical transformers, motors, generators, and inductors. Faraday performs an experiment with a magnet and a coil. During Faraday’s experiment, he discovered how EMG is induced in a coil when the flux linked with it changes.

In this experiment, Faraday takes a magnet and a coil and connects a galvanometer across the coil. At starting, the magnet is at rest, so there is no deflection in the galvanometer i.e the needle of the galvanometer is at the center or zero position. When the magnet is moved towards the coil, the needle of galvanometer deflects in one direction.

When the magnet is held stationary at that position, the needle of galvanometer returns to zero position. Now when the magnet moves away from the coil, there is some deflection in the needle but opposite direction, and again when the magnet becomes stationary, at that point respect to the coil, the needle of the galvanometer returns to the zero position. Similarly, if the magnet is held stationary and the coil moves away, and towards the magnet, the galvanometer similarly shows deflection. It is also seen that the faster the change in the magnetic field, the greater will be the induced emf or voltage in the coil.

 Position of magnet Deflection in galvanometer Magnet at rest No deflection in galvanometer Magnet moves towards the coil Deflection in galvanometer in one direction Magnet is held stationary at same position (near the coil) No deflection in galvanometer Magnet moves away from the coil Deflection in galvanometer but in opposite direction Magnet is held stationary at same position (away from the coil) No deflection in galvanometer

Conclusion: From this experiment, Faraday concluded that whenever there is relative motion between conductor and a magnetic field, the flux linkage with a coil changes and this change in flux induces a voltage across a coil.

Michael Faraday formulated two laws on the basis of above experiments. These laws are called Faraday’s laws of electromagnetic induction.

Any change in the magnetic field of a coil of wire will cause an emf to be induced in the coil. This emf induced is called induced emf and if the conductor circuit is closed, the current will also circulate through the circuit and this current is called induced current.
Method to change magnetic field:

1. By moving a magnet towards or away from the coil
2. By moving the coil into or out of the magnetic field
3. By changing the area of a coil placed in the magnetic field
4. By rotating the coil relative to the magnet

It states that the magnitude of emf induced in the coil is equal to the rate of change of flux that linkages with the coil. The flux linkage of the coil is the product of the number of turns in the coil and flux associated with the coil.

Consider, a magnet is approaching towards a coil. Here we consider two instants at time T1 and time T2.

Flux linkage with the coil at time,

Flux linkage with the coil at time,

Let this change in flux linkage be,

So, the Change in flux linkage

Now the rate of change of flux linkage

Take derivative on right hand side we will get

The rate of change of flux linkage

But according to Faraday’s law of electromagnetic induction, the rate of change of flux linkage is equal to induced emf.

Considering Lenz’s Law.

Where:

• Flux Φ in Wb = B.A
• B = magnetic field strength
• A = area of the coil

### How To Increase EMF Induced in a Coil

• By increasing the number of turns in the coil i.e N, from the formulae derived above it is easily seen that if number of turns in a coil is increased, the induced emf also gets increased.
• By increasing magnetic field strength i.e B surrounding the coil- Mathematically, if magnetic field increases, flux increases and if flux increases emf induced will also get increased. Theoretically, if the coil is passed through a stronger magnetic field, there will be more lines of force for coil to cut and hence there will be more emf induced.
• By increasing the speed of the relative motion between the coil and the magnet – If the relative speed between the coil and magnet is increased from its previous value, the coil will cut the lines of flux at a faster rate, so more induced emf would be produced.

Faraday law is one of the most basic and important laws of electromagnetism. This law finds its application in most of the electrical machines, industries, and the medical field, etc.

• Electrical Transformers work on Faraday’s law
• The basic working principle of electrical generator is Faraday’s law of mutual induction.
• The Induction cooker is the fastest way of cooking. It also works on the principle of mutual induction. When current flows through the coil of copper wire placed below a cooking container, it produces a changing magnetic field. This alternating or changing magnetic field induces an emf and hence the current in the conductive container, and we know that the flow of current always produces heat in it.
• Electromagnetic Flow Meter is used to measure the velocity of certain fluids. When a magnetic field is applied to electrically insulated pipe in which conducting fluids are flowing, then according to Faraday’s law, an electromotive force is induced in it. This induced emf is proportional to the velocity of fluid flowing.
• Form bases of Electromagnetic theory, Faraday’s idea of lines of force is used in well known Maxwell’s equations. According to Faraday’s law, change in magnetic field gives rise to change in electric field and the converse of this is used in Maxwell’s equations.
• It is also used in musical instruments like electric guitar, electric violin etc. 