Question

A coil of an ac generator, having 100 turns and area 0.1 m² each, rotates at half a rotation per second in a magnetic field of 0.02 T. The maximum emf generated in the coil is ______.

विकल्प

• 0.31 V

• 0.20 V

• 0.63 V

• 0.10 V

Answer 1

A coil of an ac generator, having 100 turns and area 0.1 m² each, rotates at half a rotation per second in a magnetic field of 0.02 T. The maximum emf generated in the coil is 0.63 V.

Explanation:

Given: Number of turns (N) = 100 N

Area of each turn (A) = 0.1 m²

Rotation frequency (f) = 0.5 rotations per second

Magnetic field strength (B) = 0.02 T

Angular velocity of the coil (ω) = 2πf

= 2π × 0.5

= π rad/s

The maximum EMF induced in a rotating coil is given by:

E_max = NBAω

= (100) × (0.02) × (0.1) × (π)

= 0.2 π

= 0.2 × 3.14

= 0.628 V

≈ 0.63 V