Question:

Use Lenz’s law to determine the direction of induced current in the situations described by Fig. 6.16:
  1. A wire of irregular shape turning into a circular shape
  2. A circular loop being deformed into a narrow straight wire
the direction of induced current

Updated On: Oct 12, 2023
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Solution and Explanation

In accordance with Lenz's law, any induced current will act to counteract the change in magnetic flux within a loop.

  1. When the area of the loop is increasing over time, the magnetic flux through it also increases. Consequently, the induced current will generate a magnetic field opposing the change, as dictated by the right-hand rule. In this case, the current flows in a clockwise direction.
  2. On the other hand, when the area of the loop is diminishing as time progresses, the magnetic flux through the loop decreases. Therefore, the induced current will create a magnetic field in the same direction as the change in flux, following the right-hand rule. This results in a current direction described as - adcb.
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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,