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MHT CET · Physics · Electromagnetic Induction

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

  1. A initial magnetic flux and \(\mathrm{R}\).
  2. B final magnetic flux and \(\mathrm{R}\).
  3. C the total change in magnetic flux and \(\mathrm{R}\).
  4. D the rate of change of magnetic flux and \(\mathrm{R}\).
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Answer & Solution

Correct Answer

(C) the total change in magnetic flux and \(\mathrm{R}\).

Step-by-step Solution

Detailed explanation

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