Q. 11

A small, conducting circular loop is placed inside a long solenoid carrying a current. The plane of the loop contains the axis of the solenoid. If the current in the solenoid is varied, the current induced in the loop is
A. clockwise

B. anticlockwise

C. zero

D. clockwise or anticlockwise depending on whether the resistance is increased or decreased.

Answer :

The magnetic field inside the solenoid is parallel to its axis. If the plane of the loop contains the axis of the solenoid, the angle between the area vector of a circular loop and the magnetic field will be zero.

The formula used: The flux through the circular loop is given by



Where is the electric flux


B is the magnetic field due to the solenoid


A is the Area of the circular loop


is the Angle between magnetic field and area vector



=constant


Then the induced emf is given by




Because BA is constant


The induced emf does not depend on the varying current through the solenoid. The induced emf will be zero for a constant flux through the loop. So no current will be induced in the loop.

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