A current-carrying wire in a magnetic field experiences a force per unit length . For the wire to form a circular shape, this magnetic force must be balanced by the tension around the circumference, similar to a pressurized loop balancing surface tension.
A thin flexible wire of length is connected to two adjacent fixed points and carries a current in the clockwise direction. When the system is placed in a uniform magnetic field of magnitude directed into the plane of the paper, the wire bends into the shape of a circle. What is the tension in the wire?
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