A horizontal conducting bar of mass m and length L is mounted to a vertical fric

Question

A horizontal conducting bar of mass m and length L is mounted to a vertical frictionless conducting axle. The outer edge of the bar makes contact with a circular, frictionless conducting rail. The rail and axle are connected to a constant voltage soure E on a switch. Each half of the bar has a resistance R, but all other conductors have a negligible resistance. The entire setup sits at rest in a uniform magnetic field B in the negative z direction. At t=0, the switch is closed. Find the initial magnetic torque on the bar.

Explanation / Answer

Basically te circuit is simple,,it is just two resisitnces or value r in parallel to the voltge source,

Hence on on ehalf on the bar force due to magnetic field will be in one direction and the other half experiences a force on the other direction'magnetic force is given by ilXB

therefore more precisiely in this case the force on the left side of the bar acts downward and the force on the right side acts upward.

Hence the torque experenced in the begining is i lXB XL

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