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6. (15 points) In region I (z<0), there is a medium with o = 0 and...
Electromagnetic Wave Theory Kong Problem 3-35 In a parallel-plate waveguide, the region z < 0 is free space and the region z > 0 is filled with a dielectric medium having permittivity . How would you write the modes for both regions? For a TM mode incident upon the dielectric from the z < 0 region, show that there is no reflected wave when . Compare this result with the case of a wave incident upon a half-space medium at...
ECE 336 Mid 1 (2020 spring) Name: In a non-magnetic medium (6-3), z<0, the E field component of an EMag wave given by: E = 10 cos(0-1-1/32 - x)a,, The wave oblique incidence to air at z 0. Please determine: (a) The polarization state of the oblique incidence (5pt) (b) The phaser form of the incident E field (5 pt) (c) (10pt) (d) The reflected E field (30 pt) (e) The transmitted H field (30 pt) (1) Assuming if we...
As shown in the figure on the back, the region x < 0 is free space, with € = 60; M = Mo, and o = 0. The region x > 0 is a perfect dielectric with e = 1.5€0, u = Ho, and o = 0. An incident wave given by E; = Eoà, cos (67 · 10%t – 27x) approaches the boundary normally, 0; = 0. a) Find the electric field of the reflected wave E.. b) Find...
Q5 3 Points What is the maximum value of 22/(23 – 15) for |z< 2? O 2/15 0 1/4 04/7 O 47
A uniform TEM plane wave in free-space (z < 0) is incident normally on a semi- infinite non-magnetic dielectric region (z > 0). The total frequency-domain magnetic field intensity in free-space is given by: Ħ, = (4e-j242 + 2ej2nz)ây [A/m] The standing wave ratio in the dielectric region is: O 1.0 None of them 3.0 O 0.0 O 0.5
1) Suppose the electric field is incident from air (z < 0) on a dielectric slab (o-zc d), where the thickness of the dielectric is a half wavelength (d λ/2 in Medium 2), Medium 3 is also air. a) Express the boundary conditions at z 0. b) Express the boundary conditions at z-d c) Find the coefficients Er,略略 d) Calculate the reflection coefficient at z 0. (40 points) Medium 3 Medium 2 Medium 1
3.) In region 1, p0,, and D(2+3+2)Clm2 In region 2, z<o, . In region 2250, a, = 3e, and at z-0, 3e, and at zo, 10 f, = d/m. Determine E. De E2 Factor 60 out ofyour expression for the electric flux density in region 2
S 6 Calculate the fleux SSF. ds, where I la, y, z)= <0? 2², 227 and S is the finite cylinder (with top and bottom) given by x² + y² = 1, 2 = 0, Z = 3,
i will rate. thanks. [20 pts) Let Q be the solid region Q={ (1,Y,Z): 2Vx2 + y2 < < <2} The density at each point (1,y,z) of Q is given as o(x, y, z) = x2 + y2 + z2. Calculate the moment of inertia about the z-axis, 1,, by hand, showing all work.
Consider a waveguide shown in the figure below. For the region z<0, the medium is vacuum and for z>0 the medium is characterized by 4s0, u0. 9GHZ, 1 watt of incident power is on z<0 region. 2cm ? P1Watt@9GHz our lem 977 03 z 0 (a) Find the existing modes z<0 region and z>0 region (b) Assume the only dominant mode exists in the each regions, find the power to transmit to z>0 region. Consider a waveguide shown in the...