1)

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


A) 2p

B) 5p

C) p

D) 4p

Answer:

Option B

Explanation:

$e = M\frac{di}{dt} = 0.005\frac{d}{dt}(I_{0}\sin\omega t)$

$0.0005(I_{0}\omega\cos\omega t)$

= $\therefore e_{max}=0.005\times10\times100\pi=5\pi [ cos\omega t=1]$