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Which of the following is associated with Lenz's law?
1. Conservation of charge
2. Conservation of momentum
3. Conservation of mass
4. Conservation of energy

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Correct Answer - Option 4 : Conservation of energy

CONCEPT:

Lenz's Law:

  • According to this law, the emf will be induced in a coil due to a changing magnetic flux in such a way that it will oppose the cause which has produced it.
  • This law states that the induced emf in a conductor due to a changing magnetic flux is such that the magnetic field created by the induced emf opposes the change in a magnetic field.

\(\Rightarrow emf=-N\left ( \frac{d\phi}{dt} \right )\)

where N = number of loops and dϕ =  Change in magnetic flux

  • The above equation is given by Faraday's law, but the negative sign is a result of Lenz's law.

EXPLANATION:

  • If the magnet is given some initial velocity towards the coil and is released, it will slow down because the emf will be induced in a coil due to a changing magnetic flux in such a way that it will oppose the cause which has produced it. Here the induced emf will try to stop the magnet.
  • It can be explained as the following:
  • The current induced in the coil will produce heat.
  • From the energy conservation, if heat is produced, there must be an equal decrease in some other form of energy. Here is the kinetic energy of the moving magnet.
  • So we can say that Lenz's law is associated with the conservation of energy.
  • Hence, option 4 is correct.

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