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Physics Moving Charge and Magnetism Mix MCQ (Single Correct)

A wire ab of length λ , mass m and resistance R slides on a smooth thick pair of metallic rails joined at the bottom as shown in fig. The plane of the rails makes an angle θ with the horizontal. A vertical magnetic field B exist in the region. If the wire slides on the rails at a constant speed v, then the value of B is–

A
B
C
D

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The correct answer is:
D

The emf induced in the wire moving at a constant velocity is

So the current through the wire will be

Since the rod is moving uniformly, the net force acting on it will be zero. Balancing the forces along the direction of motion of the rod, we get

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