Chapter 7, Problem 3STP

To determine

To Choose: The correct option.

Answer to Problem 3STP

Option C

Explanation of Solution

Formula used:

Transformer voltage ratio is given by,

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

Where, $V_{\text{out}}$ is output voltage, $V_{\text{in}}$ is input voltage, $N_2$ is turns in secondary coil and $N$ is turns in primary coil.

Calculation:

Ratio of secondary coil current to primary coil current is calculated as:

  $\begin{array}{l}\frac{\text{Secondary coil current}}{\text{Primary coil current}}\\ =\frac{\text{0}\text{.5 A}}{\text{0}\text{.1 A}}\\ =5:1\end{array}$

Ratio of turns in primary coil to turns in secondary coil is calculated as:

  $\begin{array}{l}\frac{V_{\text{out}}}{V_{\text{in}}}=\frac{N_2}{N}\\ \frac{V_{\text{in}}}{V_{\text{out}}}=\frac{N_1}{N}\\ \frac{N_1}{N}=\frac{5\text{ V}}{1\text{ V}}\\ =5:1\end{array}$

Conclusion:

Ratio of secondary coil current to primary coil current isequal to ratio of turns in primary coil to turns in secondary coil (ratio of input voltage to output voltage).