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Q.

A vertical rod length l is moved with constant Velocity v towards East. The vertical component of the earth’s magnetic field is B and the angle of dip is θ. The induced emf in the rod is

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a

Bℓvtan⁡θ

b

BℓVcos⁡θ

c

Bℓvsin⁡θ

d

Bℓvcot⁡θ

answer is A.

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Detailed Solution

Question Image

tan⁡θ=BvBH

BH=Bvtan⁡θ

BH=Bv⋅Cot⁡θ

When vertical rod is moving towards East, it cuts BH component, So e=BHl=v

e=BvCot⁡θ.lv

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