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 =?

Correct answer:

U₁ =  40 V
N₂₂ =  100

Step-by-step explanation:

$$\begin{gathered} N_1=40 \\ {N}_2=80 \\ {U}_2=80\text{ V } \\ {N}_1:N_2=U_1:U_2 \\ {U}_1={\displaystyle \frac{N_1}{N_2}}\cdot U_2={\displaystyle \frac{40}{80}}\cdot 80=40\text{ V} \end{gathered}$$

$$\begin{gathered} N_{21}=400 \\ {U}_{21}=200\text{ V } \\ {U}_{22}=50\text{ V } \\ {N}_{22}={\displaystyle \frac{U_{22}}{U_{21}}}\cdot N_{21}={\displaystyle \frac{50}{200}}\cdot 400=100 \end{gathered}$$

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