The complex E field of a uniform plane wave is given by E→=(x+jz)e^(jk0y) Assume a source-free, free-space medium.
a) Find the corresponding H→ field
b) Find<S(t)→>
As direction of E was not given, we can assume a direction then we have found by doing cross product of K and E and then divide by mio and omega. Then we take real part of E*×H and dive by 2, then we will get pointing vector S
The complex E field of a uniform plane wave is given by E→=(x+jz)e^(jk0y) Assume a source-free,...
424· The complex electric field of a uniform 4.26. In a source-free, free-space region, the plane wave is given by complex magnetic field of a time-harmonic field is represented by (a) Find the polarization of the wave (lin- ear, circular, or elliptical) (b) Determine the sense of rotation (clock wise or counterclockwise). (c) Sketch the figure the electric field where EO is a constant and Po is the intrin- sic impedance of free space. Determine the: (a) Polarization of the...
how can I solve this problem? A uniform plane wave with an electric field given by E(x, z.)- 9Eocos[V3x10°-(xt2) is obliquely incident at the interface located at z- 0 between two lossless dielectric media. The relativity permittivity permittivity corresponding expression for the magnetic field of the incident wave H(x, z, t). (c) Calculate the percentage of the incident power that will be transmitted across the interface. 82r of the second medium is 3. (a) What is the relativity Eir of...
The magnetic field of a uniform plane wave propagating na dielectric medium with e 36 is given by Specify the modulus and direction of the electric field intensity at the x = 0 plane at t = 0 and 5 ns. The magnetic field of a uniform plane wave propagating na dielectric medium with e 36 is given by Specify the modulus and direction of the electric field intensity at the x = 0 plane at t = 0 and...
The electric field of a uniform plane 7.11 propagating wave in free space is given by (V/m) E — (* + ј9)30е јл:/6 Specify the modulus and direction of the electric field intensity at the z 0 plane at t0, 5, and 10 ns 7.18 Dry sol is characterized by e 2.5, r = 1, and 104 (S/m) determine if dry soil may be considered a good conductor quasi-conductor, or a low-loss dielectric, and then calculate a В, А, мр,...
4. A uniform plane wave traveling in free-space impinges normally on a loss-less medium with μ2= 2 and Ea= 2. Given that the frequency of operation is 10 GHz, the amplitude of the incident field is 1V/m. Determine the amplitude of the reflected and transmitted waves. Find the standing wave ratio and the location of the first minimum in the Standing Wave Pattern in medium-1 (free-space).
4. A uniform plane electromagnetic wave propagates in a lossless dielectrie medium with μ = μ° and ε = εγεο . The phasor electric field is given by the where Eo is a complex constant and ω is angular frequency. Note that the wavenumber of the dielectric k is not the free space wavenumber ko-alc = ωνμο (a) Find the relative dielectric constant&, (b) Find the direction of propagation n and draw it on the figure. (c) Sketch (draw) on...
Ē"(z)= 2a e 3x104) 1) A uniform plane wave is incident normally on an air-sea water interface at z=0. The phasor expression of the incident electric field intensity is: (V/m) The parameters of the sea-water are: E = 80€, (F/m), u = H (H/m)and o = 4(S/m). Find: a) The intrinsic impedance of medium (1) and medium (2). b) The reflection and transmission coefficients. c) The attenuation and phase constants in the second medium. d) The ratio of the sea-water...
10.59 A uniform plane wave propagates in a medium for which o 0, e 16e, u-. The electric field in the medium is E 60cos(wt - Bz)a, V/m where 90 Mrad/s. If the wave hits free space normally at z = 0, determine the power densities in both media.
9.28 The electric field intensity of a spherical wave in free space is given by E = sin 0 cos(wt – Br)a, V/m Find the corresponding magnetic field intensity H.
Q2(a) A uniform plane wave propagating in a z in free space ( 0)is normally incident at z-0 on a conductor (z>0) for which ?-61.7 MS/m, r 1 The free-space E wave has a frequency s-1.SMHz and an amplitude of 1.0 V/m; at the interface it is given by Develop He,t fo0 (10 marks) (b) In free space, Generate the: Phase constant p (2 marks) (ii) Wavelength (2 marks) (ii) Phase velocity v, (2 marks) (iv) Intrinsic impedance of the...