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An emf is generated by an ac generator having 100 turn coil, of loop area 1 m$^2$. The coil rotates at a speed of one revolution per second and placed in a uniform magnetic field of 0.05 T perpendicular to the axis of rotation of the coil. The maximum value of emf is:-
A
3.14 V
B
31.4 V
C
62.8 V
D
6.28 V
Detailed Solution
$\omega=2\pi\ rad/sec$ (1 rev/s). $E_{max}=NBA\omega=100\times0.05\times1\times2\pi=10\pi\approx31.4$ V.