Question

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

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

Answer 1

The correct option is B $5\Pi$

$e=M\frac{di}{dt}=0.005\times \frac{d}{dt}\left(i_{0}sinwt\right)=0.005\times i_{0}wcoswt$
$\therefore e_{max}=0.005\times 10\times 100\pi =5\pi$