As shown in the figure, two frictionless conducting rails (#1 and #2) are attach

Question

As shown in the figure, two frictionless conducting rails (#1 and #2) are attached to a 20.0

As shown in the figure, two frictionless conducting rails (#1 and #2) are attached to a 20.0 degree incline such that the inside edges are 80.0 cm apart. A copper bar with a mass of 0.202 kg slides (without friction) at a constant speed down the conducting rails. If there is a vertical magnetic field of 0.0426 T in magnitude in the region of the incline, determine the magnitude of the current I that flows through the sliding copper bar.

Explanation / Answer

F= B'IL

=> mgsin(theta) = Bcos(theta)*I*L

=> 0.202*9.8*sin(20 ) = 0.0426*cos(20)*I*(80/100)

=> I = 0.202*9.8*sin(20 /((80/100)* 0.0426*cos(20))

= 21.1418860256 A

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