A conducting loop of resistance ' $R$ ' is moved into a magnetic field, the total induced charge depends upon

A conducting loop of resistance ' $R$ ' is moved into a magnetic field, the total induced charge depends upon
  1. initial magnetic flux and $\mathrm{R}$.
  2. final magnetic flux and $\mathrm{R}$.
  3. the total change in magnetic flux and $\mathrm{R}$.
  4. the rate of change of magnetic flux and $\mathrm{R}$.

Solution

$\begin{aligned} & \mathrm{i}=\frac{\mathrm{e}}{\mathrm{R}}=\frac{1}{\mathrm{R}} \cdot \frac{\Delta \phi}{\Delta \mathrm{t}} \\ & \frac{\Delta \mathrm{q}}{\Delta \mathrm{t}}=\frac{1}{\mathrm{R}} \cdot \frac{\Delta \phi}{\Delta \mathrm{t}} \\ & \therefore \Delta \mathrm{q}=\frac{\Delta \phi}{\mathrm{R}}\end{aligned}$ .

Asked in: MHT CET 2021 (24 Sep Shift 1)

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