Problem: An AM radio transmitter broadcasts 50.0 kW of power uniformly in all directions. (a) Assuming all of the radio waves that strike the ground are completely absorbed, and that there is no absorption by the atmosphere or other objects, what is the intensity 30.0 km away? (Hint: Half the power will be spread over the area of a hemisphere.) (b) What is the maximum electric field strength at this distance?

FREE Expert Solution

Intensity:

I=PA

(a)

The power is transmitted uniformly in all directions, thereby creating a spherical area.

The area of the sphere is, A = 4πr2 

A = (4π)(30.0 × 103)2 = 1.13 × 1010 m2 

99% (58 ratings)
View Complete Written Solution
Problem Details

An AM radio transmitter broadcasts 50.0 kW of power uniformly in all directions. 

(a) Assuming all of the radio waves that strike the ground are completely absorbed, and that there is no absorption by the atmosphere or other objects, what is the intensity 30.0 km away? (Hint: Half the power will be spread over the area of a hemisphere.) 

(b) What is the maximum electric field strength at this distance?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Intensity of Waves concept. If you need more Intensity of Waves practice, you can also practice Intensity of Waves practice problems.