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CUET · PHYSICS · PYQ PAPER 2025

The armature coil of a generator has 20 turns and its area is \( 0.127 \, \text{m}^2 \). How fast approximately should it be rotated in a magnetic field of \( 0.2 \, \text{Wb m}^{-2} \) so that the peak value of induced emf is 160 V?

  1. A 20 rps
  2. B 50 rps
  3. C 100 rps
  4. D 200 rps
Verified Solution

Answer & Solution

Correct Answer

(B) 50 rps

Step-by-step Solution

Detailed explanation

\( \mathcal{E}_{\text{peak}} = N B A (2 \pi f) \) \( f = \frac{\mathcal{E}_{\text{peak}}}{2 \pi N B A} \) \( f = \frac{160}{2 \pi (20)(0.2)(0.127)} \) \( f \approx 50 \, \text{rps} \)
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