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Question

An electron moven along the line AB, which lies in the same plane as a circular loop of conducting wire as shown in the diagram. What will be the direction of current induced if any, in the loop?


A
No current will be induced
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B
Clockwise
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C
Anticlockwise
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D
The current will reverse its direction as the electron goes past the loop.
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Solution

The correct option is D The current will reverse its direction as the electron goes past the loop.
As Electron passes along straight line AB, its flow is not continous, hence instead of a current carrying wire it will behave like a small current element.
direction of small current dI is from BA, the magnetic field at centre of loop (B) due to current element will be perpendicularly inwards to the plane.
B1r2, from biot-savart law.
As electron approaches loop, (AO), r and the B at centre of loop , hence current induced in ANTICLOCKWISE direction to oppose it.

Similarly,
As electron goes past the loop, (OB), r and the B at centre of loop , hence current induced in CLOCKWISE direction to oppose it.

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