Chapter 26, Problem 60A

(a)

To determine

To Find: Length of an antenna having frequency band $\text{900 MHz}$ .

Answer to Problem 60A

Thelength of the optimal antenna is $0.33\text{m}$ .

Explanation of Solution

Given:

The band i.e. receiving frequency is $900\text{MHz}$ .

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 $900\text{MHz}$ for frequency in equation (1)

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

  $\begin{array}{l}=\frac{300}{900}\\ =0.33\text{m}\end{array}$

Conclusion:

Hence, the required length of the optimal antenna is $0.33\text{m}$ .

(b)

To determine

To Find: Length of an antenna having frequency band $\text{1900 MHz}$ .

Answer to Problem 60A

The length of the optimal antenna is $0.16\text{m}$ .

Explanation of Solution

Given:

The band i.e. receiving frequency is $1900\text{MHz}$ .

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 $900\text{MHz}$ for frequency in equation (1)

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

  $\begin{array}{l}=\frac{300}{1900}\\ =0.16\text{m}\end{array}$

Conclusion:

Hence, the required length of the optimal antenna is $0.16\text{m}$ .

(c)

To determine

To Find: Length of an antenna having frequency band $\text{2050 MHz}$ .

Answer to Problem 60A

The length of the optimal antenna is $0.15\text{m}$ .

Explanation of Solution

Given:

The band i.e. receiving frequency is $2050\text{MHz}$ .

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 $900\text{MHz}$ for frequency in equation (1)

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

  $\begin{array}{l}=\frac{300}{2050}\\ =0.15\text{m}\end{array}$

Conclusion:

Hence, the required length of the optimal antenna is $0.15\text{m}$ .