A conducting rod that has a mass m and a negligible resistance is free to slide without friction along two parallel rails that have negligible resistances and are separated by a distance é and connected by a resistance R. The rails are attached to an inclined plane that makes an angle 0 with the horizontal. There is a magnetic field directed upward as shown. a. Find an expression for the magnetic force acting on the rod in terms of B, v, R, 4, and 0. b. Find an expression for the terminal speed of the rod in terms of B, v, R, €, and 0.

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A conducting rod that has a mass m and a negligible resistance is free to slide
without friction along two parallel rails that have negligible resistances and are separated
by a distance l and connected by a resistance R. The rails are attached to an inclined plane
that makes an angle 0 with the horizontal. There is a magnetic field directed upward as
shown.
a. Find an expression for the magnetic force acting on the rod in terms of B, v, R, 4,
and 0.
b. Find an expression for the terminal speed of the rod in terms of B, v, R, l, and 0.
B
В
Transcribed Image Text:A conducting rod that has a mass m and a negligible resistance is free to slide without friction along two parallel rails that have negligible resistances and are separated by a distance l and connected by a resistance R. The rails are attached to an inclined plane that makes an angle 0 with the horizontal. There is a magnetic field directed upward as shown. a. Find an expression for the magnetic force acting on the rod in terms of B, v, R, 4, and 0. b. Find an expression for the terminal speed of the rod in terms of B, v, R, l, and 0. B В
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