First slide

Faraday's law of Electromagnetic induction

Question

The coil of area 0.1 m² has 500 turns. After placing the coil in a magnetic field of strength $4 \times 10^{- 4} Wb / m^{2},$ if it is rotated through 90⁰ in 0.1 s, the average emf induced in the coil is

Moderate

A

0.012 V
B

0.05 V
C

0.1 V
D

0.2 V

Solution

$e = \frac{- NBA ({cosθ}_{2} - {cosθ}_{1})}{Δt}$
$= - \frac{500 \times 4 \times 10^{- 4} \times 0 .1 (c o s 90^{\circ} - c o s 0^{\circ})}{0 .1} = 0 .2 V$

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