Basic Electronics and Electrical Engineering: Chapter 3: Transformer
Emf Equation of a Transformer
Transformer: Emf Equation of a Transformer
EMF
EQUATION OF A TRANSFORMER
Consider that an
alternating voltage V1 of frequency f is applied to the primary shown in Fig. 3.7 (a).
Let
N1 = No. of
turns in primary winding.
N2 = No. of
turns in secondary winding.
ϕm = maximum
flux in the core in Webers.
= Bm×A [where Bm is the
maximum flux density in the core and A is the core area].
f
=frequency of AC input in Hz.
Refer Fig. 3.7 (b)
Since flux increases from its zero value to maximum value ϕm in
quarter of the cycle. i.e, in 1/4 f
second.
Average rate of change
of flux = ϕm / (1/4 f).
= 4f ϕm Wb/sec (or) V
Now, rate of change of
flux per turn means induced emf in volts.
∴
Average emf/turn = 4 fϕm V
For sinusoidal wave
form
Form factor = r.m.s value
/ Average value = 1.11
r.m.s value of emf/turn
= 1.11×4 fϕm V
= 4.44 fϕm V
Now r.m.s value of emf
induced in primary winding
E1 = 4.44 fmϕmN1
V
E1 = 4.44 f BmAN1 V
Similarly, r.m.s value
of emf induced in secondary winding,
E2 = 4.44 fmϕmN2
V
E2 = 4.44 f BmAN2 V
Basic Electronics and Electrical Engineering: Chapter 3: Transformer : Tag: Basic Engineering : - Emf Equation of a Transformer
Basic Electronics and Electrical Engineering: Chapter 3: Transformer
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