Electromagnetic Induction - Result Question 27

27. Two coils have a mutual inductance 0.005H. The current changes in the first coil according to equation I=I0sin⁡ωt, where I0=10A and ω=100πradian/sec. The maximum value of e.m.f. in the second coil is

[1998]]

(a) 2p

(b) 5p

(c) p

(d) 4p

Show Answer

Answer:

Correct Answer: 27. (b)

Solution:

(b) e=−Mdidt=−0.005×d(i0sin⁡ωt)dt

=−0.005×i0×(ωcos⁡ωt)

emax =0.005×i0×ω( when cos⁡ωt=−1)

=0.005×10×100π=5πV

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