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10. Given a uniform plane wave in air as Ei-40 Cos (cot - Pz)ax 30 Sin...
Given a uniform plane wave in air as (a) Find H. (b) If the wave encounters...
Given a uniform plane wave in air as (a) Find H. (b) If the wave encounters a perfectly conducting plate normal to the z axis at z the reflected wave Er and Hr. (c) What are the total E and H fields for z <01? (d) Calculate the time-average Poynting vectors for z <0 and z > 0. 0, find dill
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (...
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
3. (10 points) A uniform plane wave is propagating at a velocity of 1.6x108 m/s in...
3. (10 points) A uniform plane wave is propagating at a velocity of 1.6x108 m/s in a perfect dielectric. The E wave and H wave are given respectively by Ez,t) = 780 cos(277 1.5 108t - Bz) a, V/m H(z,t) = 2.9 cos(211 X 1.5 x 108t – Bz) ay A/m Find (a) B (b) 2 (c)n (d) Mr (e) Er
A uniform sinusoidal plane wave in air with the following phasor expression for electric intensity is incident on a perfectly conducting plane at z -0. a) Determine the polarization of the wave (with...
A uniform sinusoidal plane wave in air with the following phasor expression for electric intensity is incident on a perfectly conducting plane at z -0. a) Determine the polarization of the wave (with respect to incidence plane).
A uniform sinusoidal plane wave in air with the following phasor expression for electric intensity is incident on a perfectly conducting plane at z -0. a) Determine the polarization of the wave (with respect to incidence plane).
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in...
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in air and impinges normally on a perfectly conducting plane at x = 0. Assuming the amplitude of E, to be 6 mV/m, write the phasor and instantaneous expressions for: (a) E, and H of the incident wave (b) E, and H, of the reflected wave (c) E, and H, of the total wave in air (d) Determine the location, nearest to the conducting plane,...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
HOMEWORK SET 3-Time Varying Fields Due date: 4/3/2019 1. A square coil, 0.60 m on a side, rotates...
HOMEWORK SET 3-Time Varying Fields Due date: 4/3/2019 1. A square coil, 0.60 m on a side, rotates about the x axis at ω-60π rad/s in a field B 0.80a: T, as shown in Fig 1. Find the induced voltage, 2. Given E = Em sin(cot-fba, in free space, find D, B, and H. Sketch E and H at 1-0. 3. Show that the E and H fields of Problem 2 constitute a wave traveling in the z direction. Verify...
EI kr Hi Er Hr Et r2-81 Ht kt A planar interface forms a boundary between air and water (assume t...
EI kr Hi Er Hr Et r2-81 Ht kt A planar interface forms a boundary between air and water (assume that this interface is flat and infinite in extent). Both materials have fh -1 and σ :: 0 S/m, where the relative permittivity of air is 1 (Er": 1) and the relative permittivity of pure water is 81 ( = 81). The coordinate system is indicated in the figure above. A uniform plane wave is obliquely incident to the interface,...
Ē"(z)= 2a e 3x104) 1) A uniform plane wave is incident normally on an air-sea water...
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...
Please show all work Consider a uniform transverse electromagnetic plane wave be normally incident on an...
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...
Given a uniform plane wave in air as (a) Find H. (b) If the wave encounters a perfectly conducting plate normal to the z axis at z the reflected wave Er and Hr. (c) What are the total E and H fields for z <01? (d) Calculate the time-average Poynting vectors for z <0 and z > 0. 0, find dill
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
7.12 The electric field of an elliptically polarized plane wave is given by [-k 10 sin(cot-kz-60°) E(z, t) y 30 cos(ot - kz)] (V/m). Determine the following: (a) The polarization angles (y, x). (b) The direction of rotation.
3. (10 points) A uniform plane wave is propagating at a velocity of 1.6x108 m/s in a perfect dielectric. The E wave and H wave are given respectively by Ez,t) = 780 cos(277 1.5 108t - Bz) a, V/m H(z,t) = 2.9 cos(211 X 1.5 x 108t – Bz) ay A/m Find (a) B (b) 2 (c)n (d) Mr (e) Er
A uniform sinusoidal plane wave in air with the following phasor expression for electric intensity is incident on a perfectly conducting plane at z -0. a) Determine the polarization of the wave (with respect to incidence plane).
A uniform sinusoidal plane wave in air with the following phasor expression for electric intensity is incident on a perfectly conducting plane at z -0. a) Determine the polarization of the wave (with respect to incidence plane).
Question No 1: (40) A y-polarized uniform plane wave (E,,H) with 100 MHz frequency propagates in air and impinges normally on a perfectly conducting plane at x = 0. Assuming the amplitude of E, to be 6 mV/m, write the phasor and instantaneous expressions for: (a) E, and H of the incident wave (b) E, and H, of the reflected wave (c) E, and H, of the total wave in air (d) Determine the location, nearest to the conducting plane,...
[132 2 2 3 4 17 marks] Question 4 A plane wave is travelling in a vacuum in the +z-direction with wavenumber k and angular frequency . It is linearly polarised in the x-direction, and has electric field given by E(t, z) Eo Cos(kz - wt)f This wave is normally incident on a perfectly electrically conducting, semi-infinite slab in the region z > 0 and the resulting field in vacuum (z < 0) is a superposition of the incident and...
HOMEWORK SET 3-Time Varying Fields Due date: 4/3/2019 1. A square coil, 0.60 m on a side, rotates about the x axis at ω-60π rad/s in a field B 0.80a: T, as shown in Fig 1. Find the induced voltage, 2. Given E = Em sin(cot-fba, in free space, find D, B, and H. Sketch E and H at 1-0. 3. Show that the E and H fields of Problem 2 constitute a wave traveling in the z direction. Verify...
EI kr Hi Er Hr Et r2-81 Ht kt A planar interface forms a boundary between air and water (assume that this interface is flat and infinite in extent). Both materials have fh -1 and σ :: 0 S/m, where the relative permittivity of air is 1 (Er": 1) and the relative permittivity of pure water is 81 ( = 81). The coordinate system is indicated in the figure above. A uniform plane wave is obliquely incident to the interface,...
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...
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...
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