The figure below shows a top view of a bar that can slide on two frictionless ra

Question

The figure below shows a top view of a bar that can slide on two frictionless rails. The resistor is R = 5.20 ohms, and a 2.50-T magnetic field is directed perpendicularly downward, into the page. Let f 1.20 m. Calculate the applied force required to move the bar to the right at a constant speed of 2.10 m/s. At what rate is energy delivered to the resistor? Use Lenz's law to answer the following questions concerning the direction of induced currents. Express your answers in terms of the letter labels a and b in each part of the figure below.

Explanation / Answer

I am allowed to answer only 1 question at a time.

a)
Induced EMF = B*L*v
= 2.5*1.2*2.1
= 6.3 V
I = induced emf / R
= 6.3 / 5.2
= 1.21 A

F applied must balance the force due to magnetic field
Fapp = B*I*L
= 2.50*1.21*1.2
= 3.66 N

b)
P = i*2^R
= 1.21^2 * 5.2
= 7.61 W

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