Lenz's Law Physics Example 4

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Example 4

hard
A superconducting ring (zero resistance) is in a magnetic field of 0.5Ā T0.5 \text{ T}. The external field is suddenly turned off. What happens to the flux through the ring, and why?

Solution

  1. 1
    In a superconductor, resistance is zero, so any induced EMF produces a current that exactly maintains the original flux.
  2. 2
    When the external field is removed, the induced current creates a magnetic field that perfectly replaces the lost external flux.
  3. 3
    The flux through the superconducting ring remains exactly Φ=BA\Phi = BA — it is 'frozen' at its original value. The current persists indefinitely because there is no resistance.

Answer

TheĀ fluxĀ remainsĀ constant — theĀ inducedĀ currentĀ maintainsĀ itĀ indefinitely.\text{The flux remains constant — the induced current maintains it indefinitely.}
In a superconductor, Lenz's law is perfectly realized: the induced current completely prevents any change in flux. This is the basis of persistent currents in superconducting magnets and flux trapping.

About Lenz's Law

The direction of an induced current is always such that it opposes the change in magnetic flux that produced it.

Learn more about Lenz's Law →

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