A conducting bar of length moves to the right on two frictionless rails, as show

Question

A conducting bar of length moves to the right on two frictionless rails, as shown in the figure below. A uniform magnetic field directed into the page has a magnitude of 3.10 T. Assume = 36 cm and R = 8.8 ?. http://www.webassign.net/sercp8/20-p-024.gif (a) At what constant speed should the bar move to produce an 8.6 mA current in the resistor? m/s What is the direction of this induced current? (b) At what rate is energy delivered to the resistor? mJ/s (c) Explain the origin of the energy being delivered to the resistor.

Explanation / Answer

E= BLV I= E/R = BLV/R= 3.10 X 0.36 X v/ 8.8 = 0.0086 v=0.0678 m/s energy delivered = I^2 R= 6.5X10^-4 W. the energy is delivered from the current , which is the result of the induced emf in the rod due to the changein the magnetic field enclosed by the lop formed by rod and rails.

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