Electro Magnetic Induction And Alternating Currents Question 474

Question: A conducting wire of mass m slides down two smooth conducting bars, set at an angle 0 to the horizintal as shown in Fig. The separation between the bars is l . The system is located in the magnetic field B, perpendicular to the plane of the sliding wire and bars. The constant velocity of the wire is

Options:

A) mg,R,sinθB2l2

B) mg,R,sinθBl2

C) mg,R,sinθB2l5

D) mg,R,sinθBl4

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Answer:

Correct Answer: A

Solution:

  • Component of weight along the inclied plane

    =mgsinθ

    Again, F=BI=BBvR=B22vR

    Now, B22vR=mg,sinθ

    or v=mgR,sin,θB22



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