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Conducting Rod

A conducting rod of length l moves on two horizontal, frictionless rails, as shown in the attached file 'Figure P31.20'. If a constant force of 1.00 N moves the bar at 2.00 m/s through a magnetic field
B that is directed into the page,
(a) What is the current through the resistor R?
(b) What is the rate at which energy is delivered to the resistor?
(c) What is the mechanical power delivered by the force F_app?

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The solution provides a helpful guide in strategy to obtaining the answer as well as a detailed working-through attached in two different formats in case the former is not sufficient.