A thin uniform rod with negligible mass and length $l$ is attached to the floor by a frictionless hinge at point $P$ . A horizontal spring with force constant $k$ connects the other end to wall. The rod is in a uniform magnetic field $B$ directed into the plane of paper. What is extension in spring in equilibrium when a current $i$ is passed through the rod in direction shown. Assuming spring to be in natural length initially.
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