1)

Two coils have a mutual inductance of 0.01 H. The current in the first coil changes according to equation, l=5sin 200$\pi$t. The maximum value of emf induced in the second coil is 


A) 10 $\pi$ V

B) 0.1 $\pi$ V

C) $\pi$ V

D) 0.01 $\pi$ V

Answer:

Option A

Explanation:

 Given, mutual inductance in the coil, M=0.01 H and current in coil, l=5 sin 200 $\pi$t

 emf induced in secondary coil is given,

$e=M\frac{dl}{dt}$

 putting the value in the above relation,

$e=0.01\frac{d}{dt}(5\sin 200\pi t)$

   $=0.01 \times 5\times200\pi \cos 200 \pi t=10\pi\cos 200\pi t$

 Compairing the above equation with the general equation  of induced emf, which is represented as,

 $e=e_{0}\cos \omega t$

 where, e0 is the maximum value of the emf.

$\therefore$  In the question , the maximum value of emf induced in the coil is ;   $e_{0}=10\pi V$