A circular coil of area $300\, cm^2$ and 25 turns rotates about its vertical diameter with an angular speed of $40\, rad\, s^{-1}$ in a uniform horizontal magnetic field of magnitude 0.05 T. The maximum voltage induced in the coil is
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 1.5 V
Given:
Area of coil, $A = 300 \, cm^2 = 300 \times 10^{-4} \, m^2 = 3 \times 10^{-2} \, m^2$
Number of turns, $N = 25$
Angular speed, $\omega = 40 \, rad/s$
Magnetic field, $B = 0.05 \, T$
The maximum induced emf in a rotating coil is:
$E_{max} = N \, B \, A \, \omega$
Substitute the values:
$E_{max} = 25 \times 0.05 \times 3 \times 10^{-2} \times 40$
$E_{max} = 25 \times 0.05 \times 1.2$
$E_{max} = 25 \times 0.06 = 1.5 \, V$
Answer: $1.5 \, V$