1)

 Two coils have a mutual inductance of 0.55H. The current changes in the first coil according to equation  $I=I_{0}\sin \omega t$.

where ,$I_{0}=10A$ and $\omega=100\pi$ rad/s

The maximum value of emf in the second coil is 


A) $ 2 \pi$

B) $ 5 \pi$

C) $ \pi$

D) $ 4 \pi$

Answer:

Option B

Explanation:

E.M.F e= $M \frac{di}{dt}=0.005 \times \frac{d}{dt} (i_{0}\sin \omega t)$

=$0.005 \times i_{0} \cos \omega t$

$e _{max}=0.005 \times 10 \times 100 \pi=5 \pi$