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The two conducting rails in the drawing are tilted upwards so they make an angle

ID: 1320743 • Letter: T

Question

The two conducting rails in the drawing are tilted upwards so they make an angle of 30.0 with respect to the ground. The vertical magnetic field has a magnitude of 0.050 T. The 0.18 kg aluminum rod (length = 1.6 m) slides without friction down the rails at a constant velocity. How much current flows through the bar?
A

The two conducting rails in the drawing are tilted upwards so they make an angle of 30.0 with respect to the ground. The vertical magnetic field has a magnitude of 0.050 T. The 0.18 kg aluminum rod (length = 1.6 m) slides without friction down the rails at a constant velocity. How much current flows through the bar?

Explanation / Answer

Here ,

Fm , magnetic force = BIL

Fg = mg

Now , for moving with contant velocity

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

0.050 * 1.6 * I * cos(30) = 0.18 *9.8 * sin(30)

solving for I

I = 12.73 A

current flows through the bar is 12.73 A