JEE Main · 2022 · 24 Jun 2022 · Shift 2 · Electromagnetic Induction

A circular coil of 1000 turns each with area

1 m^{2}

is rotated about its vertical diameter at the rate of one revolution per second in a uniform horizontal magnetic field of 0.07 T. The maximum voltage generation will be

____

Answer: 440

Solution

The maximum induced emf in a rotating coil is given by

ε_{max} = B A N ω

, where

B

is the magnetic field,

A

is the area,

N

is the number of turns, and

ω

is the angular velocity. Given:

B = 0.07

A = 1

m²,

N = 1000

, and

ω = 2 π

rad/s (one revolution per second). Therefore,

ε_{max} = 0.07 \times 1 \times 1000 \times 2 π = 140 π \approx 440

JEE Main · 2022 · 24 Jun 2022 · Shift 2 · Integer answer

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