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Question
Two identical circular loops of metal wire are lying on a table without touching each other. Loop A carries a current which increases with time. In response the loop B
Two identical circular loops of metal wire are lying on a table without touching each other. Loop A carries a current which increases with time. In response the loop B
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Solution
The correct option is C is repelled by loop A
As the current in loop A is increases with time, the flux it produces around is increasing with time. Let loop A have an anticlockwise current through it. Thus the flux is coming out of the plane of the loop inside. It acts as a bar magnet with north pole outside the plane.Thus, the magnetic flux due to this loop is increasing in the loop B in the into the plane direction. According to the Lenz Law, current is induced in loop B such that the induced magnetic field opposes the change in the flux. Thus the induced magnetic flux in loop B is also out of the plane. It also acts as a bar magnet with north pole out of the plane of loop B.Hence, they repel each other.
As the current in loop A is increases with time, the flux it produces around is increasing with time. Let loop A have an anticlockwise current through it. Thus the flux is coming out of the plane of the loop inside. It acts as a bar magnet with north pole outside the plane.
Thus, the magnetic flux due to this loop is increasing in the loop B in the into the plane direction. According to the Lenz Law, current is induced in loop B such that the induced magnetic field opposes the change in the flux. Thus the induced magnetic flux in loop B is also out of the plane. It also acts as a bar magnet with north pole out of the plane of loop B.
Hence, they repel each other.
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