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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