First slide

Faraday's law of Electromagnetic induction

Question

In electromagnetic induction, the induced charge in a coil is independent of

Moderate

A

Change in the flux
B

Time
C

Resistance in the circuit
D

None of the above

Solution

We know that $e = - \frac{dϕ}{dt}$
But $e = iR and i = \frac{dq}{dt} \Rightarrow \frac{dq}{dt} = \frac{e}{R} \Rightarrow dq = - \frac{dϕ}{R}$
Integrating , Q = $\frac{△ φ}{R}$ , which is independent of time .

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