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A loop is formed by two parallel conduct...

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 (without friction) slide over the conductors. The conductors are located in a horizontal plane in a uniform vertical magnet field `B` . the distance between the conductors is `l` . At the moment `t=0` , the rod is imparted an initial velocity `v_(0)` directed to the right. Find the law of its motion `x(t)` if the electric resistance of the loop is negligible.

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