Pyq- Electromagnetic Induction & Alternating Currents L-2

Question: An emf is generated by an ac generator having 100 turn coil, of loop area $1 \mathrm{~m}^2$ The coil rotates at a speed of one revolution per second and placed in a uniform magnetic field of $0.05 \mathrm{~T}$ perpendicular to the axis of rotation of the coil. The maximum value of emf is :- (NEET-2023)#

A) $3.14 \mathrm{~V}$

B) $31.4 \mathrm{~V}$

C) $62.8 \mathrm{~V}$

D) $6.28 \mathrm{~V}$

Answer: $31.4 \mathrm{~V}$#

Explanation#

$\omega=2 \pi \frac{\mathrm{rad}}{\mathrm{sec}}$

$\mathrm{E}_{\max }=\mathrm{NBA} \omega$

$=100 \times 0.05 \times 1 \times 2 \pi$

$=10 \times \pi$

$=31.4 \mathrm{~V}$