Problem 3. A 10 GHz uniform plane wave propagates in a lossless medium for which € = 8 and μ = 2. Find (a) vp; (b) ẞ; (c) ; (d) Es; (e) Hs; (f) (S). Problem 4. A good conductor is planar in form, and it carries a uniform plane wave that has a wavelength of 0.3 mm and a velocity of 3 × 105 m/s. Assuming the conductor is nonmagnetic, determine the frequency and the conductivity. Problem 5. Consider a left circularly polarized wave in free space that propagates in the forward z direction. The electric field is given by the appropriate form of Eq. (100). Determine (a) the magnetic field phasor, Hs; (b) an expression for the average power density in the wave in W/m² by direct application of Eq. (77).