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° incline such that the inside edges are 80.0 cm apart. A copper bar with a mass of 0.177 kg slides (without friction) at a constant speed down the conducting rails. If there is a vertical magnetic field of 0.0456 T in magnitude in the region of the incline, determine the magnitude of the current I that flows through the sliding copper bar. I = A

Explanation / Answer

Here ,

magnetic force , Fm = BIL

gravity force , Fg = m*g

Now, for equilibrium of the rod,

Fm*cos(alpha) = Fg*sin(alpha)

B*I*L = mg*tan(alpha)

0.0456 * 0.80 * I = 0.177 * 9.8 * tan(20)

I = 17.3 A

the magnitude of the current I that flows through the sliding copper bar is 17.3 A

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