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COMEDK · Physics · 22. Electromagnetic Induction

A rectangular coil of 250 turns has an average area of \(20 \mathrm{~cm} \times 15 \mathrm{~cm}\). The coil rotates with a speed of 60 cycles per second in a uniform magnetic field of \(2 \times 10^{-2} \mathrm{~T}\) about an axis perpendicular to the field. The peak value of the induced emf is:

  1. A \(36 \pi\) volt
  2. B \(18 \pi\) volt
  3. C \(12 \pi\) volt
  4. D \(30 \pi\) volt
Verified Solution

Answer & Solution

Correct Answer

(B) \(18 \pi\) volt

Step-by-step Solution

Detailed explanation

The peak value of the induced electromotive force (emf) in a rotating coil is given by the formula \(\varepsilon_{0} = N A B \omega\), where \(N\) is the number of turns, \(A\) is the area of the coil, \(B\) is the magnetic field strength, and \(\omega\) is the angular velocity.…
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