Chapter SH, Problem 7.4APP

To determine

To calculate: Output voltage of a step-down transformer.

Answer to Problem 7.4APP

Output voltage of the step-down transformer is $\underset{\_}{400\text{ V}}$ .

Explanation of Solution

Given:

Input voltage = $800\text{ V}$

Number of turns in the primary coil = $200$

Number of turns in the secondary coil = $100$

Formula used:

Transformer voltage equation is given by,

  $\frac{V_{\text{out}}}{V_{\text{in}}}=\frac{N_2}{N_1}$

where $V_{\text{out}}$ is output voltage, $V_{\text{in}}$ is input voltage, $N_2$ is number of turns in the secondary coil and $N_1$ is number of turns in the primary coil.

Calculation:

Output voltage is calculated as:

  $\begin{array}{l}\frac{V_{\text{out}}}{V_{\text{in}}}=\frac{N_2}{N_1}\\ V_{\text{out}}=\frac{V_{\text{in}}\cdot N_2}{N_1}\\ V_{\text{out}}=\frac{\left(\text{800 V}\right)\cdot \left(100\right)}{200}\\ V_{\text{out}}=400\text{ V}\end{array}$

Conclusion:

Output voltage of the step-down transformer is $\underset{\_}{400\text{ V}}$ .