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Question

There is a uniform magnetic field B directed in negative z direction. A conductor ABC has length AB=l1, parallel to the xaxis, and length BC=l2 parallel to the yaxis. ABC moves in the xy plane with velocity vx^i+vy^j. The potential difference between A and C is proportional to

A
vxl1+vyl2
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B
vxl2+vyl1
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C
vyl1vxl2
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D
vxl1vyl2
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Solution

The correct option is C vyl1vxl2
Emf induced is due to velocity component perpendicular to the length of the conductor.
Emf induced in AB is ε1=Bl1vy [A positive]
Emf induced in BC is ε2=Bl2vx [C positive]
εAC=l1vyl2vx

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