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CUET · PHYSICS · PYQ PAPER 2023

In an AC generator, a coil of 20 turns each with area \( 2 \times 10^{-2} \text{ m}^2 \) is rotated at 50 revolutions per sec in a uniform magnetic field of 2.5 T. The maximum induced emf produced is:

  1. A 157 V
  2. B 314 V
  3. C 220 V
  4. D 190 V
Verified Solution

Answer & Solution

Correct Answer

(B) 314 V

Step-by-step Solution

Detailed explanation

\( \omega = 2 \pi f \) \( \omega = 2 \pi (50) = 100 \pi \text{ rad/s} \) \( \epsilon_{max} = N B A \omega \) \( \epsilon_{max} = (20)(2.5)(2 \times 10^{-2})(100 \pi) \) \( \epsilon_{max} = 314.16 \text{ V} \)