Question:

A primary coil and secondary coil are placed close to each other. A current, which changes at the rate of 25 A in a millisecond, is present in the primary coil. If the mutual inductance is $92 \times 10^{-6} H$, then the value of induced emf in the secondary coil is

Updated On: Aug 15, 2024
  • 4.6 V
  • 2.3 V
  • 0.368 mV
  • 0.23 mV
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The Correct Option is B

Solution and Explanation

The induced emf in secondary coil.
$e=M \frac{d i}{d t}=92 \times 10^{-6} \times \frac{25}{1 \times 10^{-3}}=2.3 \,V$
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Concepts Used:

Transformers

Transformer is a device used in power transmission to change the AC voltage without changing the frequency between the circuits. Electrical transformer consists of two coils named as the primary coil and secondary coil which is wounded on a soft iron core. The soft iron core is laminated to minimize eddy currents. Both the coil in the transformer has high mutual inductance.Transformers work on the principle of Faraday’s law of electromagnetic induction and mutual inductions.

A mutual electro-motive force is induced in the transformer from the alternating flux that is set up in the laminated core, due to the coil that is connected to a source of alternating voltage.

Other types of transformers:

  • Autotransformers: This kind of transformers contain only one coil wound over a laminated core. In Autotransformers, primary and secondary windings share the same coil.
  • Power transformers: They are majorly used in power generation stations as they are suitable for major higher voltages.