Question

Two coils have a mutual inductance 0.005H. The current changes in first coil according to equation $I=I_{0}sin\omega t$ where $I_0=10A$ and $\omega =100\pi$ radian/sec. The max. value of e.m.f. in second coil is

• A. $2\pi$
• B. $5\pi$
• C. $\pi$
• D. $4\pi$

Answer 1

The correct option is B $5\pi$

$\epsilon =\frac{M}{dt}dI$

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

and, ${\epsilon }_{max}=0.005\times I_0\times \omega =5\pi$