Electro Magnetic Induction And Alternating Currents Question 309

Question: Two conducting circular loops of radii $ R_{1} $ and $ R_{2} $ are placed in the same plane with their centres coinciding. If $ R_{1}»R_{2} $ , the mutual inductance M between them will be directly proportional to [MP PMT 1994; MP PET 2001]

Options:

A) $ R_{1}/R_{2} $

B) $ R_{2}/R_{1} $

C) $ R_{1}^{2}/R_{2} $

D) $ R_{2}^{2}/R_{1} $

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Answer:

Correct Answer: D

Solution:

Mutual inductance between two coil in the same plane with their centers coinciding is given by $ M=\frac{{\mu_{0}}}{4\pi }( \frac{2{{\pi }^{2}}R_{2}^{2}N_{1}N_{2}}{R_{1}} ) $ henry.



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