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Magnetic Flux and Faraday's Law

The average i...

Question

The average induced emf in the circuit is

A

0.2 V

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B

0.1 V

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C

1 V

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D

10 V

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Solution

The correct option is B $0.1 V$
$B = 1 T$
$R = 10 c m = 0.1 m$
$A_{o} = π {0.2}^{2} = 0.01 π m^{2}$
$A_{f} = 0$
$Δ A = 0.01 π m^{2}$
$ϕ = B A = A$
By Faraday's law:
$E = \frac{d ϕ}{d t} = \frac{d A}{d t} = \frac{0.01 π}{0.314} = 0.1 V$

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