Chapter 26, Problem 50A

To determine

To Find: Length of an antenna having receiving frequency $101.3-\text{MHz}$ .

Answer to Problem 50A

The length of the antenna is $2.96\text{m}$ .

Explanation of Solution

Given:

The receiving frequency is $101.3\text{MHz}$ .

Formula:

The length of an antenna in meter is given by

Length in meter = $\frac{\text{300}}{\text{Frequency}\text{in}\text{MHz}}$   ...... (1)

Calculation:

Substitute $101.3\text{MHz}$ for frequency in equation (1)

Length in meter = $\frac{\text{300}}{\text{Frequency}\text{in}\text{MHz}}$

  $\begin{array}{l}=\frac{300}{101.3}\\ =2.96\text{m}\end{array}$

Conclusion:

Hence, the required length of the antenna is $2.96\text{m}$ .