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# EMF Equation of Transformer

The flux in the core will be sinusoidally as shown below.

EMF Equation of Transformer

Let, N1=Primary number of turns

N2 =Secondary number of turns

f = Frequency of supply in Hz

The flux in the core will be sinusoidally as shown below.

The flux in the core increases from zero to Φm in one quarter cycle (1/4 second) Therefore, average rate of change of flux = Φm/(1/4f) = 4f Φm

Average emf induced per turn = Average rate change of flux x 1 =4f Φm Volts

RMS value of induced emf per turn = 1.11 x 4f Φm = 4.44f Φm Volts

RMS value of induced emf in primary, E1 = 4.44f Φm N1 Volts

RMS value of induced emf in secondary, E2 = 4.44f Φm N2 Volts

In an ideal transformer on no load, V1 = E1, V2 = E2

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