In electromagnetic induction,the induced char | vedclass

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(B) According to Faraday's law of electromagnetic induction,the induced electromotive force $(e)$ is given by $e = -\frac{d\phi}{dt}$.Since $e = iR$,w

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(B) According to Faraday's law of electromagnetic induction,the induced electromotive force $(e)$ is given by $e = -\frac{d\phi}{dt}$.Since $e = iR$,where $i$ is the induced current and $R$ is the resistance of the circuit,we have $iR = -\frac{d\phi}{dt}$.Substituting $i = \frac{dq}{dt}$,we get $\frac{dq}{dt} R = -\frac{d\phi}{dt}$.This simplifies to $dq = -\frac{d\phi}{R}$.Integrating both sides,the total induced charge $q$ is given by $q = -\frac{\Delta\phi}{R}$.From this expression,it is clear that the induced charge $q$ depends on the change in magnetic flux $(\Delta\phi)$ and the resistance $(R)$,but it is independent of the time $(dt)$ taken for the change to occur.

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

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