Question

Two coils have mutual inductance $0.005H$. The current changes in the first coil according to equation $I=I_0\sin \omega t$, where $I_0=10A$ and $w=100\pi rad{s}^{-1}$. The maximum value of emf in the second coil is

• A. $5$
• B. $5\pi$
• C. $0.5\pi$
• D. $\pi$

Answer 1

Answer: (B)

$5\pi$

$e=M\frac{di}{dt}=5\times {10}^{-3}\times \frac{d}{dt}\left(I_0\sin wt\right)=(5\times {10}^{-3})\left(10\right)\left(100\pi \right)=5\pi$