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} $
Show Answer
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.
