First slide

Faraday's law of Electromagnetic induction

Question

A coil has 1000 turns and 500 cm² as its area. The plane of the coil is placed at right angles to a magnetic induction field of $2 \times 10^{- 4} Wb / m^{2} .$ The coil is rotated through 180⁰ in 0.2 s. The average e.m.f. induced in the coil, in millivolts, is

Moderate

A

5
B

10
C

15
D

20

Solution

$e = \frac{- NBA ({cosθ}_{2} - {cosθ}_{1})}{Δt}$
$e = - \frac{1000 \times 2 \times 10^{- 4} \times 500 \times 10^{- 4} (\cos 180^{\circ} - \cos 0^{\circ})}{0 .2}$
$= 10^{- 2} volt = 10 mV$

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