A loop is formed by two parallel conductors connected by a solenoid with inductance L and…
Physics · JEE Advanced · NTA Exams — Electromagnetic Induction and Alternating Currents
A loop is formed by two parallel conductors connected by a solenoid with inductance L and a conducting rod of mass M which can freely slide over the conductors. The conductors are located in a uniform magnetic field with induction B perpendicular to the plane of loop. The distance between conductors is l. At t = 0, the rod is given a velocity \(v_{0}\)directed towards right and the current through the inductor is initially zero.
- The maximum current in circuit during the motion of
rod is \(v_{0} \sqrt{\frac{M}{L}}\) - The rod moves for some distance and comes to
permanently rest - The velocity of rod when current in the circuit is half of maximum is \(\frac{\sqrt{3}}{2} \mathrm{v}_{0}\)
- The rod oscillates in SHM
Answer
(A) The maximum current in circuit during the motion of rod is v_ 0 M L, (C) The velocity of rod when current in the circuit is half of maximum is 3 2 v _ 0, (D) The rod oscillates in SHM
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