A radio transmitter is operating at an average power of $4.00 \mathrm {~kW}$ and is radiating uniformly in all directions. What is the average intensity of the signal $8.00 \mathrm {~km}$ from the transmitter? A) 4.97 μW/m² B) 2.49 μW/m² C) 0.00497 W/m² D) 0.00249 W/m²

Question

Quizplus · Accepted Answer

The average intensity of the signal is given by:$$I = \frac{P}{4\pi r^2}$$where:* $P$ is the average power of the transmitter* $r$ is the distance from the transmitterSubstituting the given values into the equation, we get:$$I = \frac{4.00 \mathrm{~kW}}{4\pi (8.00 \mathrm{~km})^2} = 4.97 \mu\mathrm{W/m^2}$$Therefore, the average intensity of the signal $8.00 \mathrm{~km}$ from the transmitter is 4.97 μW/m².

A Radio Transmitter Is Operating at an Average Power Of 4.00