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A straight rod moves along parallel conduct- ing rails, as shown below. The rail

ID: 1373621 • Letter: A

Question

A straight rod moves along parallel conduct- ing rails, as shown below. The rails are con- nected at the left side through a resistor so that the rod and rails form a closed rectangu- lar loop. A uniform field perpendicular to the movement of the rod exists throughout the region.

Assume the rod remains in contact with the rails as it moves. The rod experiences no friction or air drag. The rails and rod have negligible resistance.

At what speed should the rod be moving to produce the upward current in the resistor? Answer in units of m/s.

A straight rod moves along parallel conduct- ing rails, as shown below. The rails are con- nected at the left side through a resistor so that the rod and rails form a closed rectangu- lar loop. A uniform field perpendicular to the movement of the rod exists throughout the region. Assume the rod remains in contact with the rails as it moves. The rod experiences no friction or air drag. The rails and rod have negligible resistance. At what speed should the rod be moving to produce the upward current in the resistor? Answer in units of m/s.

Explanation / Answer

Here ,

as the induced current is given as I = BVL/R

0.42 = 2.4 * v * 1.6/5.8

v = 0.63 m/s

the speed of rod is 0.63 m/s

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