Question

derivation of faradays law with explanation​

Answer 1

Answer:

Interpretation of Farday's Law

Faraday's law shows that a changing magnetic field within a loop gives rise to an induced current, which is due to a force or voltage within that circuit. ... Electric Current gives rise to magnetic fields. Magnetic Fields around a circuit gives rise to electric current.

Answer 2

Answer:

Explanation:

Faraday’s First Law of Electromagnetic Induction

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.

Faraday’s Second Law of Electromagnetic Induction

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

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