First slide

Faraday's law of Electromagnetic induction

Question

A coil has 2000 turns and area of 70 cm². The magnetic field perpendicular to the plane of the coil is 0.3 Wb/m² and takes 0.1 s to rotate through 180⁰. The value of the induced e.m.f. will be

Moderate

A

8.4 V
B

84 V
C

42 V
D

4.2 V

Solution

$e = - \frac{NBA ({cosθ}_{2} - {cosθ}_{1})}{Δt}$
$= - 2000 \times 0 .3 \times 70 \times 10^{- 4} \frac{(\cos 180^{\circ} - \cos 0^{\circ})}{0 .1}$
$\Rightarrow e = 84 V$

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