**Faraday’s laws**of electromagnetic induction.

### Faraday’s First Law

According to **Faraday’s First Law**, Whenever a conductor is placed in a varying magnetic field an EMF is induced across the conductor (which is called as induced emf). If the conductor is made a closed circuit then induced current flows through the conductor.

There are various methods that is used to vary Magnetic field such as

1. By moving the coil

2. By moving magnet

3. By rotating the coil relative to magnetic field

### Faraday’s Second Law

According to **Faraday’s second law**, the magnitude of induced emf in the conductor is equal to the rate of change of flux linkages with the coil. The flux linkages is the product of number of turns and the flux associated with the coil.

**Formula Of Faraday’s Law**

Consider a conductor which is moving in magnetic field, then

flux linkage with the coil at initial position of the conductor = NΦ1 Wb

(N is speed of the motor and Φ is flux)

flux linkage with the coil at final position of the conductor = NΦ2 Wb

then, change in the flux linkage from initial to final = N(Φ1 – Φ2)

let Φ1 – Φ2 = Φ

therefore, the change in the flux linkage = NΦ

and, rate of change in the flux linkage = NΦ/t

by taking the derivative of RHS

the rate of change of flux linkages = N (dΦ/dt)

According to Faraday’s second law, the rate of change of flux linkages is equal to the induced emf

So, E = N (dΦ/dt) (volts)

### Phenomenon Of Mutual Induction

When the alternating current flows in the coil, a magnetic field is produced around it. When two or more coils are magnetically linked with each other, then an alternating current flowing through one coil causes an emf induced across the other linked coils. This phenomenon is known as mutual induction.

Now we will discuss lenz’s law.

### Lenz’s Law

Lenz’s law of electromagnetic induction states that when an emf is induced according to Faraday’s law of electromagnetic induction, the polarity of that induced emf is such that it opposes the cause of its production.

Thus, **Lenz’s law** is given by

E = -N (dΦ/dt) (volts)

The negative sign in above formula shows that the direction of the induced emf and the direction of change in magnetic fields have opposite signs.