Question

Two coil have a mutual inductance 0.005 H. The current changes in first coil according to equation$I=I_0\sin \omega t$ where $I_0=2A$ and $\omega =100\pi rad/\sec$ , where . The maximum value of induced emf in second coil is:

• A. $4\pi V$
• B. $3\pi V$
• C. $2\pi V$
• D. $5\pi V$

Answer 1

The correct option is D $5\pi V$

$e=M\frac{di}{dt}=0.005\times \frac{d}{dt}\left(i_{0}sin\omega t\right)=0.005\times i_0\omega cos\omega t$

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