Topic: Communication Systems
In a radar system, if the peak transmitted power is increased by a factor of 16 and the antenna diameter is increased by a factor of 2, then the maximum range will increase by a factor of
- A. 16
- B. 8
- C. 4
- D. $\sqrt{8}$
Answer: C. 4
Explanation: $R_{max}\propto P^{1/4}$ and $R_{max}\propto D$. $R_{max}\propto (16P)^{1/4}=2P^{1/4}$ and $R_{max}\propto D=2D$. Therefore, $R_{max}\propto 4P^{1/4}D$. The maximum range will increase by a factor of 4.