Consider a uniform plane wave propagating in free space at a frequency of 2.45 GHz. The amplitude of the electric field is 215e/V/m. The wave is assumed propagating in the (+2) direction. (a) Write phasor and real-time expressions for an electric field polarized in the x-direction. (b) Calculate the wavelength, phase velocity, and the intrinsic wave impedance.

5.17. A parallel-polarized uniform plane wave is incident obliquely on a lossless dielec- tric slab that is embedded in a free-space medium, as shown in Figure P5-17. Derive expressions for the total reflection and trans- mission coefficients in terms of the electri- cal constitutive parameters, thickness of the slab, and angle of incidence. 80 Mo Ео но H' Figure P5-17

10. A linearly polarized electromagnetic wave has an average intensity of 440 W/m, This wave is directed towards two ideal polarizers (in real polarizers, transmission is also affected by reflection and absorption). Polarizer A is oriented with its transmission axis at an angle of = 27.5° with the incident electric field. Polarizer B has its axis at an angle of 0, = 76.8° with the incident electric field, as shown in the figure. View Along Axis Sideview a) What is the average intensity of the wave after it passes through polarizer A? b) What is the average intensity of the wave after it passes through polarizer B? c) Suppose that the two polarizers A and B are interchanged. What would the average intensity be after passing through both polarizers?

The skin depth at 10 MHz for a conductor is 1cm. Find the phase velocity of an electromagnetic wave in the conductor at 1,000 MHz.

a) An electromagnetic wave propagating in free space with its electric field vector described by E = 30 sin(2n × 10°t – Bx) â̟V/m i. Determine the direction of wave propagation. Compute the period T and the wavelength, . Compute the phase constant Band the time it takes to travel a distance of 1/2. Determine the intrinsic impedance, n. Determine the magnetic field vector, H. 1i. ii. iv. V.