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Derive EMF Equation of Transformer

When a sinusoidal voltage is applied to the primary winding of a transformer, alternating flux ϕm sets up in the iron core of the transformer. This sinusoidal flux links with both primary and secondary winding. The function of flux is a sine function.

The rate of change of flux with respect to time is derived mathematically.

The derivation of the EMF Equation of the transformer is shown below. Let

  • ϕm be the maximum value of flux in Weber
  • f be the supply frequency in Hz
  • N1 is the number of turns in the primary winding
  • Nis the number of turns in the secondary winding

Φ is the flux per turn in Weber.

Derive EMF Equation of Transformer



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