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CUET · PHYSICS · PYQ PAPER 2025

In an AC generator, a 100 turns coil of area \(0.10 \text{ m}^2\) rotates at 50 Hz in a uniform magnetic field of 0.01 T. The maximum voltage generated in the coil is

  1. A 27 V
  2. B 314 V
  3. C 31.4 V
  4. D 10 V
Verified Solution

Answer & Solution

Correct Answer

(C) 31.4 V

Step-by-step Solution

Detailed explanation

\( \omega = 2\pi f = 2\pi(50 \text{ Hz}) = 100\pi \text{ rad/s} \) \( \mathcal{E}_{max} = NAB\omega = (100)(0.10 \text{ m}^2)(0.01 \text{ T})(100\pi \text{ rad/s}) = 31.4 \text{ V} \)
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