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Questions  

A copper rod of length l is rotated about one end perpendicular to the magnetic field B with constant angular velocity ω. The induced e.m.f. between the two ends is

a
12Bωl2
b
34Bωl2
c
Bωl2
d
2Bωl2

detailed solution

Correct option is A

If in time the rod turns by an angle θ, the area generated by the rotation of rod will be=12l×lθ=12l2θSo the flux linked with the area generated by the rotation of rodϕ=B12l2θcos0°=12Bl2θ=12Bl2ωt So, e=dϕdt=ddt12Bl2ωt=12Bl2ω

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