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 2.90 T. Assume = 39 cm and R = 9.1 ?.

(a) At what constant speed should the bar move to produce an8.4mA current in the resistor?
m/s

What is the direction of this induced current?
into screen, out of screen, clockwise, counterclockwise

(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

(a)

I =BLV/R

8.4*10^-3 = 2.9*0.39*V/9.1

V = 0.0676 m/s

direction of this induced current is counterclockwise

(b)

E =I^2*R = (8.4*10^-3)^2*9.1 = 0.642 mJ/s

(c)

Origin of energy being delivered to resistor is from magnetic field.

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