Transformer with winding Resistance but No Magnetic Leakage

In an actual transformer, there will be some resistance in both sides winding i.e primary & secondary winding due to the presence of copper winding .

Now, we describe what is the effect in transformer due to presence of winding resistance but no magnetic leakage ?

Fig-1

Let, R₁ = Primary winding resistance,
R₂ =Secondary winding resistance,
V₁= Primary applied voltage,
V₂=Secondary terminal voltage,
E₁= Primary induced e.m.f,
E₂= Secondary induced e.m.f,
I₁= Primary current,
I₂= Secondary Current, ( which are shown in fig-1 )

a) Due to the presence of secondary winding resistance ( R₂), an amount I₂R₂ voltage drop will be occurred in the secondary winding.
Hence, the secondary Terminal voltage (V₂) is equal to the vector difference of E₂ and resistance voltage drop I₂R₂,

i.e V₂=E₂-I₂R₂

b) Similarly, Primary induced e.m.f E₁ is equal to the vector difference of V₁ and primary resistance voltage drop I₁R₁,

i.e E₁=V₁ - I₁R₁

The vector diagrams are shown below on different loading condition of transformer at no magnetic leakage :-

 

Fig-3 ( When Load is Inductive)

Fig-4 ( When Load is Capacitive)