First slide

Faraday's law of Electromagnetic induction

Question

In a coil of area 10 cm² and 10 turns, a magnetic field directed perpendicular to its plane and is changing at the rate of 10⁸ gauss/second. The resistance of the coil is 20 ohm. The current in the coil will be

Moderate

A

5 A
B

0.5 A
C

0.05 A
D

$5 \times 10^{8} A$

Solution

$I = \frac{| e |}{R} = \frac{N (dϕ / dt)}{R}$
$= \frac{10 \times 10^{8} \times 10^{- 4} \times 10^{- 4} \times 10}{20} A m p [10^{4} G a u s s = 1 W e b e r] = 5 A$

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