# Coils of transformer

The primary coil of the transformer has 1100 turns and is connected to a voltage of 220V. How many turns does the secondary coil have when the voltage on it is 55 V? Determine the transformation ratio and decide what kind of transformation is it.

Correct result:

n2 =  275
k =  0.25

#### Solution:

$n_{1}=1100 \ \\ u_{1}=220 \ \text{V} \ \\ u_{2}=55 \ \text{V} \ \\ \ \\ k=\dfrac{ u_{2} }{ u_{1} }=\dfrac{ n_{2} }{ n_{1} } \ \\ \ \\ k=\dfrac{ u_{2} }{ u_{1} }=\dfrac{ 55 }{ 220 }=\dfrac{ 1 }{ 4 }=0.25 \ \\ \ \\ n_{2}=n_{1} \cdot \ k=1100 \cdot \ 0.25=275$

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