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 ; $e_{0}=10\pi V$