Question 31 of 153
An infinitely long straight wire carrying current I, one side opened rectangular loop and a conductor with a sliding connector are located in the same plane, as shown in the figure. The connector has length l. and resistance . It slides to the right with a velocity . The resistance of the conductor and the self inductance of the loop are negligible. The induced current in the loop, as a function of separation r, between the connector and the straight wire is
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Answer: (D)
The induced current in the wire will be due to the motional EMF developed in the moving resistor and that back emf developed at that point will be equal to
velocity of the conductor
perpendicular magnetic field
length of conductor
We know magnetic field due to a long wire is
Hence the induced current across wire will be :
velocity of the conductor
perpendicular magnetic field
length of conductor
We know magnetic field due to a long wire is
Hence the induced current across wire will be :
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