Question

Prove that: When magnetic flux linked with a coil changes from ϕ₁ to ϕ₂, then induced charge, q = \(\frac{N}{R}\left(\phi_{1}-\phi_{2}\right)\), where N is the number of turns in the coil and R is the resistance of coil.

Answer 1

From Faraday’s Law
Induced emf in a coil of N turns,
ε = \(-N \frac{d \phi_{B}}{d t}\)
If the area of coil is A, along the direction of magnetic field B, then magnetic flux,

From the above expressions, it is clear that the induced charge depends on the value of change in magnetic flux and not on the rate of change of magnetic flux.