First slide

Faraday's law of Electromagnetic induction

Question

A loop, having area 20cm², is made of thin copper wire. If is placed in a uniform magnetic field of induction 1.5 Tesla with its plane perpendicular to the field. If area of the loop increases to 30 cm² in 0.5 second, average emf induced in the loop is

Moderate

A

1.5 m volt
B

4 m volt
C

3 m volt
D

2.5 m volt

Solution

$Average emf = \frac{ϕ_{2} - ϕ_{1}}{Δt} = \frac{B (A_{2} - A_{1})}{Δt} = \frac{1 .5 (30 - 20) \times 10^{- 4}}{0 .5} volt$
$= 3 m volt$

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