Question:

A metal ring is held horizontally and bar magnet is dropped through the ring with its length along the axis of the ring. The acceleration of the falling magnet

Updated On: Apr 26, 2024
  • is equal to g
  • is less than g
  • is more than g
  • depends on the diameter of ring and length of magnet
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The Correct Option is B

Solution and Explanation

As the magnet falls, the magnetic flux linked with the ring increases. This induces emf in the ring which opposes the motion of the falling magnet, so $a < g.$
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Concepts Used:

Lenz’s law

Lenz’s law states that the induced electromotive force with different polarities induces a current whose magnetic field opposes the change in magnetic flux through the loop in order to ensure that original flux is maintained through the loop when current flows in it.

It depends on the principle of conservation of energy and Newton’s third law. To determine the direction of the induced current is most convenient method . Induced current states that he direction of an induced current is always such as to oppose the change in the circuit or the magnetic field that produces it.

Lenz’s Law Formula

The Lenz’s Law is reflected in the formula of Faraday’s law. Here the negative sign is contributed from Lenz’s law. The expression is –

Where,