Question

A conducting ring of radius 1m kept in a uniform magnetic field B of 0.01 T, rotates uniformly with an angular velocity 100 rad s⁻¹ with its axis of rotation perpendicular to B. The maximum induced emf in it is:

Options

• 1.5πV

• πV

• 2πV

• 0.5πV

Answer 1

πV

Explanation:

Given, B = 0.01 T, A = πR² = π × (1 m)² = πm²

ω = 100 rads⁻¹

∴ The maximum induced emf_max = BAω

= 0.01 × π × 100 V

= πV