Q.

The current carrying wire and the rod AB are in the same plane. The rod moves parallel to the wire with a velocity v. Which one of the following statements is true about induced e.m.f. in the rod?

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a

End A will be at lower potential with respect to B.

b

A and B will be at the same potential.

c

There will be no induced e.m.f. in the rod.

d

Potential at A will be higher than that at B.

answer is D.

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Detailed Solution

Magnetic force acting on each free electron in the rod is given by  F→ =(-e) v→×B.→ Since F→is directed from end A to end B , free electrons are accumulated at end B. As a result end A is at positive potential and end B is at negative potential.
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The current carrying wire and the rod AB are in the same plane. The rod moves parallel to the wire with a velocity v. Which one of the following statements is true about induced e.m.f. in the rod?