Q.

A circular coil of n t urns and radius r is placed in a uniform magnetic field B. Initially the plane of the coil is perpendicular to the field. The coil is rotated through 90o. The resistance of the coil is ONE OHM. The quantity of charge passing through the coil is

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a

n π r2 B

b

n2 π r2 B

c

n π r B

d

n π r B2

answer is A.

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Detailed Solution

Rate of change of flux=0−nπr2BΔt=−nπr2BΔtlnduced e.m.f. =−nπr2BΔt∴Q=∫idt=nπr2BΔt×1RΔt=nπr2B
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A circular coil of n t urns and radius r is placed in a uniform magnetic field B. Initially the plane of the coil is perpendicular to the field. The coil is rotated through 90o. The resistance of the coil is ONE OHM. The quantity of charge passing through the coil is