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Question: Answered & Verified by Expert
A conducting loop of resistance ' $R$ ' is moved into a magnetic field, the total induced charge depends upon
PhysicsElectromagnetic InductionMHT CETMHT CET 2021 (24 Sep Shift 1)
Options:
  • A initial magnetic flux and $\mathrm{R}$.
  • B final magnetic flux and $\mathrm{R}$.
  • C the total change in magnetic flux and $\mathrm{R}$.
  • D the rate of change of magnetic flux and $\mathrm{R}$.
Solution:
1597 Upvotes Verified Answer
The correct answer is: the total change in magnetic flux and $\mathrm{R}$.
$\begin{aligned} & \mathrm{i}=\frac{\mathrm{e}}{\mathrm{R}}=\frac{1}{\mathrm{R}} \cdot \frac{\Delta \phi}{\Delta \mathrm{t}} \\ & \frac{\Delta \mathrm{q}}{\Delta \mathrm{t}}=\frac{1}{\mathrm{R}} \cdot \frac{\Delta \phi}{\Delta \mathrm{t}} \\ & \therefore \Delta \mathrm{q}=\frac{\Delta \phi}{\mathrm{R}}\end{aligned}$

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