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A rectangular coil of single turn, having area A, rotates in a uniform magnetic field B with an angular velocity ω about an axis perpendicular to the field. If initially the plane of coil is perpendicular to the field, then the average induced e.m.f. when it has rotated through 900 is

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a

ωBAπ

b

ωBA2π

c

ωBA4π

d

2ωBAπ

answer is D.

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Detailed Solution

e=∆φ∆t BAt and ω=2πT T=2πωTime taken for the coil to rotate through900=t=T/4=2π4ω=π2ωe=BAt=BAπ/2ω=2BAωπ

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