Question

The induced EMF in loop at time $t=2\pi /\omega$ is :

• A. 0
• B. $\frac{B_0\pi \omega R^2}{2}$
• C. $B_0\pi \omega R^2$
• D. $-\frac{B_0\pi \omega R^2}{2}$

Answer 1

Answer: (C)

$B_0\pi \omega R^2$

Faraday's Law
Magnetic Flux
$\varphi =\overrightarrow{B}.\overrightarrow{A}=B_o\pi R^{2}sin\omega t$
Induced EMF
$E=\frac{d\varphi }{dt}=B_o\omega \pi R^{2}cos\left(\omega t\right)$
at $t=2\pi /\omega$
$E=B_o\omega \pi R^2$