3) In a uniform dielectric medium, Ē(z,t)= a 300ejkz+ja, H(z,t) = 2a, ekat jer. Determine the...
A uniform plane wave in a lossy nonmagnetic medium of dielectric constant &2.3 is described by 0s t-3.40a, v/m. E(z,t)-1 0e-02: cos(9% 108 t _ 3. 4z)a, +24e cos(9x1 (a) (b) (c) Calculate the intrinsic impedance n. (3 marks) Determine H(z,t). (1 marks) Find the displacement current density Ja (3 marks)
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...
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...
2A uniform electromagnetic plane wave is normally incident norm the air region (medium #1 with intrinsic medium (medium #2 with intrinsic k,- and wavenumber k ) upon the planar interface separating air from a lossy dielectric impedance 'h-%(I + J) and wavenumber (1-)).The incident plane wave in air has a phasor electric field given by 2. Find (leave all answers in terms ofm: (a) value of the wavenumber in air, ko (b) attenuation constant α and phase constant β (c)...
For Problems 7 to 12: Electric field in a uniform medium is given as Ē =n. (3ê +4ỹ)cos(3x10° rt – kız)+n. (î+22)cos(6x10° rt +187y) Notice that these two waves are at different frequencies and they propagate in different directions. Permeability of the medium is given as u=450 Problem [7] <5 points> Calculate the relative permittivity of this medium. I Problem [8] <5 points> Calculate the intrinsic impedance of this medium. Problem [9] <5 points> Calculate k. Problem [10] <5 points>...
+ + Electric field in a uniform medium is given as Ē =n. (3f+4ģ)cos(3x10® ret – kız)+n, (î+22)cos (6x10% nt+187y) Notice that these two waves are at different frequencies and they propagate in different directions. Permeability of the medium is given as u=44 Problem [7] <5 points> Calculate the relative permittivity of this medium. Problem [8] <5 points> Calculate the intrinsic impedance of this medium. Problem [9] <5 points> Calculate k: Problem [10] <5 points> Calculate the propagation speed of...
For Problems 7 to 12: Electric field in a uniform medium is given as Ē = 1,(38 +49) cos(3x10ʻrt - kız)+90(8+22)cos(6x10*rt +187y) Notice that these two waves are at different frequencies and they propagate in different directions. Permeability of the medium is given as u = 44, Problem [10] <5 points> Calculate the propagation speed of the waves. Problem [11] <5 points> The magnetic field in this medium can be found as Ā =(4,6+ H,, ) cos(3x10* rt - kız)+(H_#+H,...
3. A uniform plane electromagnetic wave propagates in a lossless dielectric medium with μ μ0 and ε ε,60 . The phasor electric field is given by the Note that the wavenumber of the dielectric k ko, where ko-o/c ωνμοε0 . Find the (a) relative dielectric permittivity (dielectric constant) (b) direction of propagation n, which is a unit vector (e) angle between the direction that the electric field vector points and the direction of in.
1. A time-dependent electromagnetic field is given by, Ē(r,t = 0) = ĉEoe-(z/a)?, H (r,t=0) = 0 The field is located in vacuum, in an infinite three dimensional space. (a) Evaluate aĒ(r, t)/at and a (r, t)/at at t = 0. (b) Find the values of the fields, Ē(r, t) and H (r, t) for a general time t, satisfying ct >> a. (c) Sketch the fields found in (b) and interpret them physically.
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...