Problem # 2 (30 points): The figure below shows a plane electromagnetic sinusoidal wave propagating in the x direction. Suppose the wavelength is 100.0 m and the magnetic field vibrates in the xz-plane with an amplitude of 100.0 nT.
(a) Calculate the frequency of the wave.
(b) Identify what kind of electromagnetic radiation is this?
(c) Calculate the electric field E when the magnetic field has its maximum value in the negative z direction.
(d) Write an expression for E(y,t) with the correct unit vector, with numerical values for Emax, k, and ̉ω, and with its magnitude in the form:
E(y,t) = Emax cos(kx - ωt)
(e) What is the intensity of the wave?
(f) What is the average power of this wave on a 1-meter square area?