On which factor does the induced charge depen | vedclass

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(D) According to Faraday's law of electromagnetic induction,the induced electromotive force $(EMF)$ is given by $\varepsilon = -\frac{d\Phi}{dt}$.From

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Both $(B)$ and $(C)$

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(D) According to Faraday's law of electromagnetic induction,the induced electromotive force $(EMF)$ is given by $\varepsilon = -\frac{d\Phi}{dt}$.From Ohm's law,the induced current is $I = \frac{\varepsilon}{R} = -\frac{1}{R} \frac{d\Phi}{dt}$.Since current is the rate of flow of charge,$I = \frac{dq}{dt}$.Therefore,$\frac{dq}{dt} = -\frac{1}{R} \frac{d\Phi}{dt}$.Integrating both sides,we get $q = -\frac{\Delta\Phi}{R}$.Thus,the induced charge $q$ depends on the total change in magnetic flux $\Delta\Phi$ and the resistance $R$ of the circuit. It is independent of the time taken for the change.

On which factor does the induced charge depend?

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