• In the antenna of a TV or radio station, charges oscillate at some frequency f and radia...

• In the antenna of a TV or radio station, charges oscillate at some frequency f and radiate electromagnetic waves of the same frequency. As a simple model of such an antenna, imagine that a single charge q = 250 nC is executing simple harmonic motion at 100 MHz with amplitude 0.3 m. (1 nC = 10−9 coulomb.) Use the result of Problem 1 to calculate the average total power radiated by this antenna.

Problem 1

• A charge q executes simple harmonic motion with position x = x0 sin ωt. (a) Find P, the total power of the radiation emitted by this oscillating charge, (b) Show that the average power over one complete cycle is