The total charge induced in a conducting loop | vedclass

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(C) The induced current $I$ in a loop is given by $I = \frac{\varepsilon}{R} = \frac{1}{R} \left( -\frac{d\phi}{dt} \right)$.The total charge $q$ indu

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the total change in magnetic flux and resistance

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(C) The induced current $I$ in a loop is given by $I = \frac{\varepsilon}{R} = \frac{1}{R} \left( -\frac{d\phi}{dt} \right)$.The total charge $q$ induced is the integral of current over time: $q = \int I dt$.Substituting the expression for $I$: $q = \int \frac{1}{R} \left( \frac{d\phi}{dt} \right) dt = \frac{1}{R} \int d\phi = \frac{\Delta \phi}{R}$.Thus,the total charge induced depends on the total change in magnetic flux $\Delta \phi$ and the resistance $R$ of the loop.

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

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