Chapter 25, Problem 2STP

Solution

To Choose: The correct option.

Option A

Given:

Power of transformer, $150\text{W}$

Input Potential difference, $V=9.0\text{V}$

Output Current, $I=5.0\text{A}$

Formula used:

  $P=VI$

Where,

  $P$ : Power

  $V$ : Potential Difference

  $I$ : Current

Calculations:

As, $P=VI$

Then current will be $I=\frac{P}{V}$

For the input current,

  $I_{in}=\frac{p}{V_{in}}$

Substitute all the values in the formula,

  $I_{in}=\frac{\text{150}\text{W}}{\text{9}\text{.0}\text{V}}$

  $I_{in}=16.66\text{A}$

The output current is given $5.0\text{A}$ .

Now, to calculate the ratio,

  $\frac{V_{out}}{V_{in}}=\frac{I_{out}}{I_{in}}$

Substitute all the values in the ratio,

  $\frac{V_{out}}{V_{in}}=\frac{5.0}{16.66}$

  $\frac{V_{out}}{V_{in}}=\frac{1}{3.33}$ $\approx$ $\frac{1}{3.}$

Conclusion:

Thus, the option A is correct.