Question

Induced emf at the centre of a rotatory rod

Answer 1

Answer:

1.A constant and uniform magnetic field B is present everywhere and is parallel to the axis. What is the emf between the centre and the metallic ring ? The area of sector traced by the rod in time t is 12l2θ, where θ=ωt. Therefore ε=Bωl22.

2.You rotate the rod by exerting a torque on it. Since the rod rotates at constant angular velocity, this torque is equal and opposite to the torque exerted on the current in the rod by the original magnetic field. The magnetic force on the infinitesimal segment of length dx shown in part (c) of Figure 13.4.

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Answer 2

A constant and uniform magnetic field B is present everywhere and is parallel to the axis. What is the emf between the centre and the metallic ring ? The area of sector traced by the rod in time t is 12l2θ, where θ=ωt. Therefore ε=Bωl22