In a setup where a conducting wire XY of mass m and negligible resistance slides smoothly on two parallel conducting wires as shown in Fig, a closed circuit with a resistance R due to AC is formed. AB and CD are perfect conductors. The magnetic field is Bk and is independent of time. If the initial velocity is v(0) = u 0 , determine the velocity v(t) of the wire XY as a function of time. Which of the following options represents the correct expression for v(t)?

Question

In a setup where a conducting wire XY of mass m and negligible resistance slides smoothly on two parallel conducting wires as shown in Fig, a closed circuit with a resistance R due to AC is formed. AB and CD are perfect conductors. The magnetic field is Bk and is independent of time. If the initial velocity is v(0) = u 0 , determine the velocity v(t) of the wire XY as a function of time. Which of the following options represents the correct expression for v(t)?, u 0 exp (–l 2 B 2 t/mR), u 0 exp (–2l 2 B 2 t/mR), u 0 exp (–lBt/mR), u 0 exp (–lB 2 t/mR)

MARKS App · Accepted Answer

Correct Option is : (A) u 0 exp (–l 2 B 2 t/mR)

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