Electro Magnetic Induction And Alternating Currents Question 315

Question: Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to equation $ I=I_{0}\sin \omega ,t $ , where $ I_{0}=10A $ and w = 100 p radian/sec. The maximum value of e.m.f. in the second coil is [CBSE PMT 1998; Pb. PMT 2000]

Options:

A) 2p

B) 5p

C) p

D) 4p

Show Answer

Answer:

Correct Answer: B

Solution:

$ e=M\frac{di}{dt}=0.005\times \frac{d}{dt}(i_{0}\sin \omega t) $ $ =0.005\times i_{0}\omega \cos \omega ,t $
$ \therefore {e_{\max }}=0.005\times 10\times 100\pi =5\pi $



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