Q.

In a region, there exist a uniform magnetic field  B0 along positive x-axis . A metallic wire of length 2a and one side along x-axis and one side parallel to y-axis is rotating about y-axis with an angular velocity  ω. Then at the instant shown, magnitude of induced electro motive force between P and R is

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a

Bωa2

b

12Bωa2

c

14Bωa2

d

zero

answer is A.

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Detailed Solution

Electro motive force induced in the part  PQ is zero as v→×B→  is zero and emf induced in part  QR is  a×aω×B=Bωa2. Hence electro motive force induce in the rod PR is  Bωa2
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In a region, there exist a uniform magnetic field  B0 along positive x-axis . A metallic wire of length 2a and one side along x-axis and one side parallel to y-axis is rotating about y-axis with an angular velocity  ω. Then at the instant shown, magnitude of induced electro motive force between P and R is