Write the equation for the induced voltage 'v' in the following diagram, if the coil has N turns:

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MPPGCL JE Electrical 28 April 2023 Shift 2 Official Paper
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  1. \(\rm v=\frac{1}{N} \frac{d \phi}{dt}\)
  2. \(\rm v=N \frac{d \phi}{dt}\)
  3. \(\rm v=N^2 \frac{d \phi}{dt}\)
  4. \(\rm v=\sqrt N \frac{d \phi}{dt}\)

Answer (Detailed Solution Below)

Option 2 : \(\rm v=N \frac{d \phi}{dt}\)
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Faraday's Law of electromagnetic induction

Faraday’s first law:

It states that whenever a conductor is placed in a varying magnetic field, emf is induced, which is called induced emf. If the conductor circuit is closed, the current will also circulate through the circuit, and this current is called induced current.

Faraday's second law:

It states that the magnitude of emf induced in the coil is equal to the rate of change of flux that links with the coil. The flux linkage of the coil is the product of the number of turns in the coil and flux associated with the coil.

\(\rm v=N \frac{d \phi}{dt}\)

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