A conducting rod of length slides on smooth parallel rails in a uniform magnetic…

PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A conducting rod of length ℓ\ell slides on smooth parallel rails in a uniform magnetic field BB perpendicular to the plane of the rails. The rod starts from rest at t=0t=0 and thereafter moves with a constant acceleration aa. The total resistance of the closed circuit is RR. (a) Derive an expression for the induced emf as a function of time tt. (b) Obtain the instantaneous power dissipated in the resistor in terms of B, ℓ, a, tB,\,\ell,\,a,\,t and RR.

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