A uniform TEM plane wave in free-space (z < 0) is incident normally on a semi-...
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...
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).
In free space (x ≤ 0), a plane wave with ? ⃗ = 100 sin(3x108t - βx)? y V/m is incident normally on a lossless medium (ε= 6ε0, ?= 8μ0) in region x ≥ 0. Determine the reflected and the transmitted wave electric and magnetic field equations.
A single frequency (monochromatic) plane wave propagating in free space is normally incident on plane surface of a medium with the relative permittivity of 1.69. What fraction of the power of the incident wave is reflected off the surface of the medium?
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...
I. (a) A uniform plane wave in air is incident on a lossless dielectric at an angle of 45 as shown in Fig.a. The transmitted wave propagates in a 30° direction with respect to the normal. The frequency is 300MHz. Find &2 in terms of g (b) A uniform plane wave is incident in a lossless dielectric with ε2 range of incident angles does transmission occur. 4e as shown in Fig . For what 2. e p I. (a) A...
4. A uniform plane wave (E, H) with a frequency of 3 GHz travels in the +z direction in a lossless medium with ε,,-4 and μ,,-1. The electric field is polarized in the x-direction. The wave impinges normally on another lossless mediumn in region 2, z >0, where ε,2-9 and μ: 1 . The amplitude of the incident electric field is 100 V/m. Write phasor and instantaneous expressions for: (İ) E, and ill of the total wave in medium 1....
P.7-19 A uniform plane wave in air with E,(2) a, 10e6 (V/m) is incident normally on an interface at 0 with a lossy medium having a dielectric constant 2.25 and a loss tangent 0.3. Find the following: a) The phasor expressions for E,lz) H,) E,(2), and H,(2) b) The standing-wave ratio for the wave in air. c) The expressions for time-average Poynting vectors in air and in the lossy medium.
Please show all work Consider a uniform transverse electromagnetic plane wave be normally incident on an interface between region 1 and region 2, at z = 0. Let the known incident wave in region 1 be (1.20) E(1)(r) = Â Ee-ikız îkı * E")(r) у ki H*)(r) E e-ikız. (1.21) ωμι wi where kı = w M€1. Let the unknown reflected wave be (1.22) E")(r) = în Ef")eikız ku r(r) Hr)(r) = -ġ whi EX")eikiz (1.23) and the unknown transmitted...
3.A uniform electromagnetic plane wave is normally incident from the air region ( medium #1 with+ η = η。= 120π ) upon the planar interface separating air from a lossy dielectric medium (medium #2 with intrinsic impedance 20π + jlOr ). The incident plane wave in air has a phasor electric field given by E(x)-le, x<0 Find: (a) the frequency f (Hertz) (b) the magnitude and the phase of the reflected phasor electric field E as a function of coordinates...