A radio wave, with a wavelength of \(300 \mathrm{~m}\) in vacuum, has an average intensity of \(200 \mathrm{~W} / \mathrm{m}^{2}\).

(a) What is the frequency of this electromagnetic wave?

(b) Fix a reference frame with the \(z\) axis along the direction of propagation of the wave. What is the Poynting vector of the wave as a function of position and time?

(c) What is the timeaveraged energy per unit time radiated through a \(2.0-\mathrm{m}^{2}\) surface aligned with its normal parallel to the direction of propagation?

(d) What are the electric and magnetic field vectors, as functions of position and time?