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Q.

There is a uniform magnetic field B normal to the xy plane. A conductor ABC has length AB=ℓ1 parallel to the x-axis and length BC=ℓ2 parallel to y-axis. ABC moves in the xy plane with velocity Vxi^+Vyj^. The potential difference between A and C is proportional to.

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a

Vxℓ1+Vyℓ2

b

Vxℓ2+Vyℓ1

c

Vxℓ2−Vyℓ1

d

Vxℓ1−Vyℓ2

answer is C.

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Detailed Solution

Vx=Vxi+VyjP.D=VBIP.D=VC-VB=VxBI2P.D =VA-VB=VyB.I1P.D =VC-VA=VxBI2-VyBI1
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