Question

Write a note on Faraday's law of induction

​

Answer 1

• Faraday's First Law of Electromagnetic Induction

• With this in mind, Faraday formulated his first law of electromagnetic induction as, Whenever a conductor is placed in a varying magnetic field, an electromotive force is induced. If the conductor circuit is closed, a current is induced which is called induced current.

$MARK AS BRAINLIEST☺️$

Answer 2

Answer:

Faraday’s Laws of Electromagnetic Induction

Faraday’s Laws of Electromagnetic Induction consists of two laws. The first law describes the induction of emf in a conductor and the second law quantifies the emf produced in the conductor. In the next few sections, let us learn these laws in detail.

Faraday’s First Law of Electromagnetic Induction

The discovery and understanding of electromagnetic induction are based on a long series of experiments carried out by Faraday and Henry. From the experimental observations, Faraday arrived at a conclusion that an emf is induced in the coil when the magnetic flux across the coil changes with time. With this in mind, Faraday formulated his first law of electromagnetic induction as,

Whenever a conductor is placed in a varying magnetic field, an electromotive force is induced. If the conductor circuit is closed, a current is induced which is called induced current.

Mentioned here are a few ways to change the magnetic field intensity in a closed loop:

By rotating the coil relative to the magnet.

By moving the coil into or out of the magnetic field.

By changing the area of a coil placed in the magnetic field.

By moving a magnet towards or away from the coil.

Faraday’s Second Law of Electromagnetic Induction

Faraday’s second law of electromagnetic induction states that

The induced emf in a coil is equal to the rate of change of flux linkage.

The flux is the product of the number of turns in the coil and the flux associated with the coil. The formula of Faraday’s law is given below:

<tbody

ε=−NΔϕΔt

Where,

ε is the electromotive force

Φ is the magnetic flux

N is the number of turns

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

Additionally, there is another key law known as Lenz’s law that describes electromagnetic induction as well.

Faraday’s Law Formula

Consider a magnet approaching towards a coil. Consider two-time instances T1 and T2.

Flux linkage with the coil at the time T1 is given by

T1 = NΦ1

Flux linkage with the coil at the time T2 is given by

T1 = NΦ2

Change in the flux linkage is given by

N(Φ2 – Φ1)

Let us consider this change in flux linkage as

Φ = Φ2 – Φ1

Hence, the change in flux linkage is given by

NΦ

The rate of change of flux linkage is given by

NΦ/t

Taking the derivative of the above equation, we get

N dΦ/dt

According to Faraday’s second law of electromagnetic induction, we know that the induced emf in a coil is equal to the rate of change of flux linkage. Therefore,

E=Ndϕdt

Considering Lenz’s law,

E=−Ndϕdt

From the above equation, we can conclude the following

Increase in the number of turns in the coil increases the induced emf

Increasing the magnetic field strength increases the induced emf

Increasing the speed of the relative motion between the coil and the magnet, results in the increased emf