A rod of negligible resistance slides without friction on two horizontal rails of…

PHYSICS · Multi-part · Fermi University Physics · Electricity, Magnetism & Electromagnetism · Electromagnetic induction and alternating-current circuits · Electromagnetic induction and alternating-current circuits

Electricity, Magnetism and Electromagnetism, Ch Faraday's law, motional emf and Lenz's law

Problem

A rod of negligible resistance slides without friction on two horizontal rails of negligible resistance separated by

L = 0.60\,\mathrm{m}

and joined at one end by a resistor

R = 1.5\,\Omega

. A uniform magnetic field

B = 0.50\,\mathrm{T}

is perpendicular to the plane of the rails. An external agent pulls the rod along the rails at the constant speed

v = 3.0\,\mathrm{m\,s^{-1}}

. ((a)) Find the emf. ((b)) Find the current. ((c)) Find the magnitude of the magnetic force on the current-carrying rod. ((d)) Find the mechanical power the agent supplies, and compare it with the power dissipated in the resistor.

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