A magnet is dropped down an infinitely long v | vedclass

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Question

(A) When a bar magnet falls vertically through the hollow region of a long vertical copper tube,the magnetic flux linked with the copper tube changes

Vedclass · Accepted Answer

The magnet moves with continuously increasing velocity and ultimately acquires a constant terminal velocity.

Vedclass · Answer

(A) When a bar magnet falls vertically through the hollow region of a long vertical copper tube,the magnetic flux linked with the copper tube changes due to the non-uniform magnetic field of the magnet.According to Faraday's law,this change in flux induces an electromotive force $(EMF)$ in the tube,which generates eddy currents in the body of the tube.By Lenz's law,these eddy currents oppose the motion of the falling magnet,creating an upward retarding force.As the velocity of the magnet increases,the rate of change of flux increases,which in turn increases the magnitude of the eddy currents and the retarding force.Eventually,the retarding force becomes equal to the weight of the magnet $(mg)$.At this point,the net force on the magnet becomes zero,and it attains a constant terminal velocity,falling with zero acceleration.

$A$ magnet is dropped down an infinitely long vertical copper tube.

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