A plane wave traveling in a medium with ɛr1 = 9 is normally incident upon a second medium with ɛr2 = 4. Both media are made of nonmagnetic, nonconducting materials. If the magnetic field of the incident plane wave is given by Hi = 2 2 cos (2n × 10ºt – ky) [A/m] | a) obtain time domain expressions for the electric and magnetic fields in each of the two media, b) determine the …

Plane wave A special case of wave or field is the plane wave in physics. It is a type of physical quantity whose value is constant over any plane and is orthogonal to a fixed direction in space. The value of such field for any position x → in space and time t is given by, F (x →, t) = G (x →. n →, t) where n → = unit length vector G (d, t) is a function that provides a field value ...

A sinusoidal plane electromagnetic wave travels in a vacuum in the x direction as shown in the graph. The period of the wave is T = 8.5 × 10 -8 s. Part (a) Express the wavelength of the wave, λ, in terms of T and the speed of light, c. Part (b) Solve for the numerical value of λ in m. Part (c) Write the equation of the frequency, f, in terms ...

A 5-GHz uniform plane wave E, = 10 e: a, V/m in free space is incident nor- mally on a large plane, lossless dielectric slab (z > 0) having & = 48,, u = Ho. Find the reflected wave E, and the transmitted wave E.

Solution Summary: The author compares the electromagnetic field of a propagating plane wave H with the given expression of the magnetic field.

Q1: (a) A plane wave propagating in a lossless dielectric medium has an electric field given as Ex = Eo cos (ot - Bz) with a frequency of 5.0 GHz and a wavelength in the material of 3.0 cm. Determine the propagation constant, the phase velocity, the relative permittivity of the medium, and the wave impedance.

A 300 MHz uniform plane wave, traveling along the x-axis in the negative x direction, whose electric field is given by Ew = E. (ja, + 3a-) etike where Eo is a real constant, impinges upon a dipole antenna that is placed at the origin and whose electric field radiated toward the x-axis in the positive x direction is given by E. = Ea (a, + 2 aje ...

8.20 A parallel-polarized plane wave is incident from air at an angle 0₁ = 30° onto a pair of dielectric layers as shown in Fig. P8.20. (a) Determine the angles of transmission 02, 03, and 04.

A plane wave in free space (z < 0) is incident normally on a large block of material with E, = 4, µ, = 1, o = 0which occupies z> 0. If the incident electric field is E = 30 cos (ot - z) a, V/m Find: (a) o, d) the average power density of the transmitted wave.