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In the figure, the uniform magnetic field with a magnitude of 4.00x10^-2 T is su

ID: 1456558 • Letter: I

Question

In the figure, the uniform magnetic field with a magnitude of 4.00x10^-2 T is surrounded by a field-free space. A rectangular loop having a resistance of 4.00x10^-3 ohms moves horizontally through this region with constant speed. At the instant shown in the figure, the loop straddles the uniform field and the field-free region. An induced current of 0.500 A flows clockwise through the loop. Answer all of the following questions at the instant shown in the figure.
a) Is the loop moving to the right or to the left or to the right?
b) What is the magnitude of the applied force required to move the loop at constant speed?
c) What is the power delivered by the applied force?
d) what is the speed of the loop? 0.100 m 0.500 A

Explanation / Answer

a) e = L(B x v)

-j = ( k x -i)

Thus v has direction of –i or right or to the left .

b) F = ILB = (0.5)(0.5)(0.04) = 0.01N

c) P = I^2F = 0.5^2*0.004 = 0.001 W

d) P = Fv

v= P/F = 0.001/0.01 = 10 m/s

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