Question

A generator with a circular coil of $100$ turns of area $2\times {10}^{-2}{m}^2$ is immersed in a $0.01T$ magnetic field and rotated at a frequency of $50Hz$. The maximum emf which is produced during a cycle is

• A. $6.28V$
• B. $3.44V$
• C. $10V$
• D. $1.32V$

Answer 1

Answer: (A)

$6.28V$

Given : $N=100$ turns $A=2\times {10}^{-2}{m}^2$ $B=0.01T$ $\nu =50Hz$
So $w=2\pi \nu =2\times \frac{22}{7}\times 50$
Maximum emf induced
$e_0=NBA\omega$
$e_0=100\times 0.01\times 2\times {10}^{-2}\times 2\times \frac{22}{7}\times 50=6.28V$