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The next problems refer to this figure: a metal rod is sliding along a U shaped

ID: 1506534 • Letter: T

Question

The next problems refer to this figure: a metal rod is sliding along a U shaped conducting track. There is a uniform magnetic field which points OUT OF the page If the metal rod is moving at a constant speed down the page (as shown), then the current-flowing through the metal rod has magnitude and direction: In the figure above, suppose v=10.0 m/s, B=1.0 T, the width of the metal rod is d=2.0 m. and the rod is a distance h = 5.0 m from the end of the track, as shown. The rod has resistance 4.0 Ohm. and the track may be considered "resistance-less". What is the magnitude of the maximum current flowing through the rod?

Explanation / Answer

6. We use equation.

F = q*(v x B)

So for directions only we right

F = -(-j x k) = -(-i ) = i

Thus the force on electrons to the positive x axis, which shifts electron to the positive x axis. hence current in the rod will be steady to the left.

7. I = e/R = (Bdv)/R = (1.0*2.0*10)/4.0 = 5A

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