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Rotational EMF

A loop of are...

Question

A loop of area $1 m^{2}$ is placed in a magnetic field $B = 2 T$ , such that plane of the loop is parallel to the magnetic field. If the loop is rotated by $180^{o}$ , the amount of net charge passing through any point of loop, if its resistance is $10 Ω$ is :

A

0.4 C

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B

0.2 C

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C

0.8 C

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D

0 C

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Solution

The correct option is A $0.4 C$
$ϕ_{i} = B S cos 0^{o} = 2 W b$
$ϕ_{f} = B S cos 180^{o} = - 2 W b$
$| Δ ϕ | = 4 W b$
$| Δ q | = \frac{| Δ ϕ |}{R} = \frac{4}{10} = 0.4 C$

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