Transformer

Solve the textbook problems - transformer:

a) N1 = 40, N2 = 80, U2 = 80 V, U1 =?

b) N1 = 400, U1 = 200 V, U2 = 50 V, N2 =?

Result

U1 =  40 V
N22 =  100

Solution:

N1=40 N2=80 U2=80 V  N1:N2=U1:U2 U1=N1N2⋅ U2=4080⋅ 80=40 VN_{1}=40 \ \\ N_{2}=80 \ \\ U_{2}=80 \ \text{V} \ \\ \ \\ N_{1}:N_{2}=U_{1}:U_{2} \ \\ U_{1}=\dfrac{ N_{1} }{ N_{2} } \cdot \ U_{2}=\dfrac{ 40 }{ 80 } \cdot \ 80=40 \ \text{V}
N21=400 U21=200 V U22=50 V  N22=U22U21⋅ N21=50200⋅ 400=100N_{21}=400 \ \\ U_{21}=200 \ \text{V} \ \\ U_{22}=50 \ \text{V} \ \\ \ \\ N_{22}=\dfrac{ U_{22} }{ U_{21} } \cdot \ N_{21}=\dfrac{ 50 }{ 200 } \cdot \ 400=100

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