A metal bar of length L = 0.83 m slides freely on two frictionless, horizontal m

Question

A metal bar of length L = 0.83 m slides freely on two frictionless, horizontal metal rails as shown in the figure below. The entire circuit has resistance R = 160 Ohm. A magnetic field B = 1.8 T is directed upward, perpendicular to the plane of the drawing and the rectangular area enclosed by the bars. An external force is applied to the bar such that it moves to the right with speed v = 24 m/s. What are the magnitude and direction of the current induced in the bar? magnitude 35.856 A direction clockwise

Explanation / Answer

given

   L = 0.83 m, B = 1.8T, R = 160 ohm

speed v = 24 m/s

we knwo that the induced emf in the rod is e = B*v*l

   e = 1.8*24*0.83 v

   e = 35.856 V

the current is I = e/R

       I = 35.856/160 A

       I = 0.2241 A

the magnitude of the current is I = 0.2241 A

the direction is clockwise direction

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