# Transformer

Transformer - U1 = 230 V, N1 = 300, N2 = 1,200, I1 = 4 A. Calculate the transformation ratio, voltage and current in the secondary coil.

Correct result:

k =  4
U2 =  920 V
I2 =  1 A

#### Solution:

$U_{1}=230 \ \text{V} \ \\ N_{1}=300 \ \\ N_{2}=1200 \ \\ I_{1}=4 \ \text{A} \ \\ \ \\ k=\dfrac{ N_{2} }{ N_{1} }=\dfrac{ 1200 }{ 300 }=4$
$U_{2}=k \cdot \ U_{1}=4 \cdot \ 230=920 \ \text{V}$
$U_{1} \cdot \ I_{1}=U_{2} \cdot \ I_{2} \ \\ \ \\ I_{1}=k \cdot \ I_{2} \ \\ \ \\ I_{2}=I_{1}/k=4/4=1 \ \text{A}$

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