A superconducting loop of the radius R has self-inductance L . A uniform and the constant magnetic field B is applied perpendicular to the plane of the loop. Initially current in this loop is zero. The loop is rotated by 180 ° . The current

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A superconducting loop of the radius R has self-inductance L . A uniform and the constant magnetic field B is applied perpendicular to the plane of the loop. Initially current in this loop is zero. The loop is rotated by 180 ° . The current in the loop after the rotation is

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Correct answer: C. 2 B &#960; R 2 L

Initially, the current was zero, so self-induced flux was also zero. Now when we rotate the loop, the change in flux is Δ ϕ = 2 π R 2 × B Finally, to maintain the same zero flux, the current in the superconducting loop will be such that the flux due to induced current will negative of the flux due to external field L × i = 2 π R 2 × B . i = 2 π R 2 × B L

A superconducting loop of the radius R has self-inductance L . A uniform and the constant magnetic field B is applied perpendicular to the plane of the loop. Initially current in this loop is zero. The loop is rotated by 180 ° . The current in the loop after the rotation is

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