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A radio transmitter is operating at an average power of 4.00 kW and is radiating uniformly in all directions. What is the average intensity of the signal 8.00 km from the transmitter?

Answer :

By using spherical wave theory, the intensity of radio transmitter is 4.97 x 10‾⁶ W/m².

We need to know about the intensity of spherical waves to solve this problem. The intensity of a spherical wave is proportional to power and inversely proportional to the square of the distance. It can be written as

I = P / 4Ļ€r²

where I is the intensity, P is the power and r is the distance from the source.

From the question above, we know that:

r = 8 km

P = 4 kW

Convert to International Unit

r = 8 x 10³ m

P = 4 x 10³ W

By substituting the parameter, we get

I = P / 4Ļ€r²

I = 4 x 10³ /( 4Ļ€(8 x 10³)² )

I = 4.97 x 10‾⁶ W/m²

Hence, the intensity of radio transmitter is 4.97 x 10‾⁶ W/m².

Find more on spherical wave at: https://brainly.com/question/8168320

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