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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