The total charge induced in a conducting loop | vedclass

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(C) According to Faraday's law of induction,the induced electromotive force $(e)$ is given by $e = -\frac{d\Phi}{dt}$.From Ohm's law,the induced curre

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the total change in magnetic flux.

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(C) According to Faraday's law of induction,the induced electromotive force $(e)$ is given by $e = -\frac{d\Phi}{dt}$.From Ohm's law,the induced current $(I)$ is $I = \frac{e}{R} = -\frac{1}{R} \frac{d\Phi}{dt}$,where $R$ is the resistance of the loop.The charge $(q)$ that flows through the loop is given by $q = \int I dt$.Substituting the expression for $I$,we get $q = \int -\frac{1}{R} \frac{d\Phi}{dt} dt = -\frac{1}{R} \int d\Phi$.Therefore,$q = -\frac{\Delta\Phi}{R}$,where $\Delta\Phi$ is the total change in magnetic flux.Thus,the total charge induced depends on the total change in magnetic flux.

The total charge induced in a conducting loop when it is moved in a uniform magnetic field depends on

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