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The conducting rod ab shown in the figure makes frictionless contact with metal

ID: 3896267 • Letter: T

Question

The conducting rod ab shown in the figure makes frictionless contact with metal rails ca and db. The apparatus is in a uniform magnetic field of 0.800 T, perpendicular to the plane of the figure. A) find the magnitude of the emf induced in the rod when it is moving toward the right with a speed 7.40m/s (in Volts). B)In what direction does the current flow in the rod? C) If the resistance of the circuit abcd is a constant 1.50 ohms, find the direction of the force required to keep the rod moving to the right with a constant speed of 7.40m/s. D) Find the magnitude of the force mentioned in part C. (in N)

Explanation / Answer

a) induced emf = B*v*l = 0.8*7.4*0.5 = 2.96 volts

b) counter clockwise

c)
towards +x axis

D)
power should be same

emf^2/R = F*v

2.96^2/1.5 = F*7.4

F = 2.96^2/(1.5*7.4)

= 0.7893 N

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