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CUET · PHYSICS · PYQ PAPER 2023

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

\( \omega = 2\pi f = 2\pi (50) = 100\pi \text{ rad/s} \) \( \mathcal{E}_{max} = NAB\omega = (100)(0.10)(0.01)(100\pi) \) \( \mathcal{E}_{max} = 10\pi \approx 31.4 \text{ V} \)