2. A horizontal slide wire of mass m and length L and resistance R can slide up

Question

2. A horizontal slide wire of mass m and length L and resistance R can slide up and down without friction in a vertical conducting frame, as shown. The resistance of the frame is negligible. The entire apparatus is in an external uniform magnetic field B directed out of the page. a) The slide wire is released from rest. What is the direction of the g induced current? b) Calculate the induced emf when the wire has a speed v. c) Calculate the induced current when the wire has speed v. d) What is the direction of the magnetic force on the wire? c) Calculate the magnitude of the magnetic force on the wire. frame B out of page slide wire

Explanation / Answer

part a:

as per Lenz’s law,current will be such that , the field due to induced current is in opposite direction to the existing field.

hence current will be in clockwise direction.

part b:

induced emf=rate of change of flux linkage

=rate of change of area*magnetic filed

=L*v*B

part c:

induced current=induced emf/resistance

=v*L*B/R

part d:

direction of magnetic force is given by cross product of current and magnetic field.

so magnetic force will be in upward direction along the paper.

part e:

magnitude of magnetic force

=current*length*B

=(v*L*B/R)*L*B

=v*L^2*B^2/R

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