Figure shows a rod of length that is forced to move at constant speed along horizontal rails

Figure shows a rod of length that is forced to move at constant speed along horizontal rails. The rod, rails, and connecting strip at the right form a conducting loop. The rod has resistance, the rest of the loop has negligible resistance. A current through the long straight wire at distance from the loop sets up a nonuniform magnetic field through the loop. Find the emf and current induced in the loop. At what rate is thermal energy generated in the rod? What is the magnitude of the force that must be applied to the rod to make it move at constant speed? At what rate does this force do work on the rod?

Shock the bot encountered a scenario where a rod moved along rails in a magnetic field created by a nearby current-carrying wire. To find the emf and current induced in the loop, Shock meticulously applied Faraday's law of electromagnetic induction, considering the nonuniform magnetic field's influence on the loop. For the thermal energy generated, he used Joule's law, linking it to the resistance of the rod and the induced current. To keep the rod moving at a constant speed against the magnetic force, Shock calculated the necessary force using the Lorentz force equation. He then equated this to the work done per unit time, illustrating the interplay of mechanical work and electrical energy in the system.

[leonardogjinaj]

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