Calculate the power gain of a microwave dish antenna with a 6 meter mouth diameter when used at 5 GHz.

Question

Quizplus · Accepted Answer

The power gain $G$ of a microwave dish antenna can be calculated using the formula $G = (\pi d / \lambda)^2$, where $d$ is the diameter of the dish and $\lambda$ is the wavelength of the signal. The wavelength $\lambda$ can be found from the frequency $f$ using the relation $\lambda = c / f$, where $c$ is the speed of light ($3 \times 10^8$ m/s). For a frequency of 5 GHz ($5 \times 10^9$ Hz), $\lambda = 3 \times 10^8 / 5 \times 10^9 = 0.06$ meters. Substituting $d = 6$ meters and $\lambda = 0.06$ meters into the gain formula gives $G = (\pi \times 6 / 0.06)^2$. This results in a numerical gain, which when converted to decibels (dB) using $10 \log_{10}(G)$, gives approximately 47.8 dB.

Calculate the Power Gain of a Microwave Dish Antenna with a 6