1. Tardigrade
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  3. Physics
  4. The number of turns in the coil of an ac generator is 5000 and the area of the coil is 0.25 m 2 . The coil is rotated at the rate of 100 cycles/s in a magnetic field of 0.2 Wb / m 2. The peak value of the emf generated is nearly

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Q. The number of turns in the coil of an ac generator is $5000$ and the area of the coil is $0.25\, m ^{2} .$ The coil is rotated at the rate of $100$ cycles/s in a magnetic field of $0.2\, Wb / m ^{2}$. The peak value of the emf generated is nearly

Electromagnetic Induction

Solution:

$e_{0}=\omega N B A=(2 \pi v) N B A$
$=2 \times 3.14 \times 100 \times 5000 \times 0.2 \times 0.25$
$=157\, kV$