Q5Show, using transmission line analogy, that the reflection coefficient (T) for aplane electromagnetic wave incident normally on a metal block is given by(а)Z -ZairZ„ +Zairwhere Zm and Zair are the wave impedances in the metal and air, respectively.(b)Consider a 100 MHz wave incident normally on an aluminium sheet ofconductivity o = 3.54×107 S/m.(i)Provide an approximation of the amount of signal that is reflected.(ii)For the signal which penetrates the sheet, calculate the distancerequired for its amplitude to be reduced by 80 dB. Assume that theattenuation factor is given by a = Jaf µo where f is the signalfrequency and u the permeability of the material.(c)Explain how the shielding of electronic equipment from high frequencyelectromagnetic interference is achieved in practice.

We are authorized to answer one question at a time, since you have not mentioned which question you…

Show, using transmission line analogy, that the reflection coefficient (I) for a plane electromagnetic wave incident normally on a metal block is given by Z -Z T= Z, +Zair where Zm and Zair are the wave impedances in the metal and air, respectively.

Show, using transmission line analogy, that the reflection coefficient (I) for a plane electromagnetic wave incident normally on a metal block is given by Z -Z T= Z, +Zair where Zm and Zair are the wave impedances in the metal and air, respectively.

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

See similar textbooks

Related questions

Q: A plane wave propagating through a medium with e, = 8, p, 2 has E 0.5 * sin(10t -B2) a, V/m.…

A: Wave is function of space and time. Frequency below which attenuation occur and above which…

Q: 2) What is the length of the transmission line in wavelengths from the load, such that the…

A: For a lossless coaxial transmission line of characteristic impedance 50 Ω and a wave phase velocity…

Q: Problem 3. The real (not a phasor) electric-field corresponding to a plane-wave propagating in a…

A: The general equation for electric filed propagating in a lossy medium is, E→=E0e-αxcosωt-βxz^ V/m…

Q: 1. Calculate time domain expressions for the incident, reflected and transmitted filed vectors for a…

A: We need to calculate the time domain expressions for the incident, reflected and transmitted field…

Q: A plane wave E' = 5 sin (wt- 6лх) аy + 10 сos (wt- 6тx ) az (V/m) in a lossless + 10 cos (wt- 6™X…

Q: What are reflection and transmission coefficients? Derive the formula for the same.

A: The ratio of the amplitude of the reflected wave to that of the incident wave is termed the…

Q: A 5-GHz uniform plane wave E, = 10 e: a, V/m in free space is incident nor- mally on a large plane,…

A: The wave is incident normally on the lossless dielectric slab, a portion of the incident wave will…

Q: 4) If a TM polarized wave is obliquely incident from air (z 0). If the incident angle is 10 degree…

Q: H, Oblique incidence of a uniform plane wave with perpendicular polarization on a plane boundary…

A: Given an oblique incidence of a uniform plane wave with perpendicular polarisation on a boundary…

Q: A plane wave E' = 5 sin (wt- блх) аy + 10 сos (wt-6тх + 10 cos (wt- 6TX ) az (V/m) in a lossless…

A: We need to calculate reflection and transmission coefficient. We know direct formula for reflection…

Q: Two plane waves contra-propagate in free space and interfere with each other. They have the same…

Q: A plane wave propagating through a medium with e, = 8, p, = 2 has E = 0.5 3 sin(10t-B2) a, V/m.…

Q: At 50 MHz, a lossy dielectric material is characterized by e = o = 0.08 S/m. If E, = 6e¯ a. V/m,…

A: Wave is function of space and time. The mode at which waveguide have lowest frequency is said to be…

Q: 1) A 70mW/m², 5GHZ uniform plane wave, traveling in the z direction in air. This wave is normally…

A: A 70 mW/m2, 5 GHz uniform plane wave, travelling in the z-direction in air. The wave is normally…

Q: At 50 MHz, a lossy dielectric material is characterized by e = 3.6ɛo, H = o = 0.08 S/m. If E, = 6e¯"…

A: Wave is function of space and time. The mode at which waveguide have lowest frequency is said to be…

Q: Calculate the net reflection coefficient I and net transmission coefficient t for the plane wave E,…

A: Given data: εr2=6.25εr3=2.25μ=4π×10-7

Q: 2) A plane wave propagating through a medium with &, =8, µ, =2, has E(z)=0.5esin(10°t – Bz)â¸.…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: 2) A plane wave propagating through a medium with &, =8, µ, =2, has E(z)=0.5e*A sin(10°t – Bz)â¸„.…

A: Attenuation constant of wave is given as The wave number of wave is given as The phase velocity…

Q: A plane electromagnetic wave is having a frequency of 20 MHz. If the value of relative permitivity…

A: Velocity (V) of a plane wave in a lossless medium can be expressed in the following way:

Q: At 50 MHz, a lossy dielectric material is characterized by e = 3.6ɛ,, µ = 2.1µo, and o = 0.08 S/m.…

A: The wave is function of space and time. The EM wave is formed when electric field is in contact with…

Q: | A uniform plane wave in free space is normally incident onto a dense dielectric plate of thickness…

Q: A plane wave in air with an electric field amplitude of 2 V/m is incident normally upon the surface…

A: given here a plane wave in air with an electric field amplitude of 2 V/m is incident normally upon…

Q: Consider a plane wave normally incident on a half-space of copper. If f = 1GHZ, compute the…

Q: In a material the loss tangent is 0.12 at 1MHz. The material has a refractive index of 1.33. Find…

Q: 15. When a plane wave is incident normally from dielectric 1' (Ho ɛ,) onto dielectric '2' (µo, Eg),…

A: Given T = transmission coefficient R= reflection question N = wave impedance €…

Q: a) Obtain the time domain expression for the elat based phasor field expresion, E„(z)…

Q: (b) Consider a plane wave normally incident on a half-space of copper. If f = 1GHZ, compute the…

A: The propagation constant is given by the expression as shown below: γ=1+jωσμ2 Plugging the known…

Q: Derive

Q: The observed standing wave ratio on a 100 Ω lossless line is 8. If the first voltage maximum occurs…

A: Given Z0 = 100 ohm, s = 8, θτ-2βl=0θτ=2βlθτ=22πλ(0.3λ)θτ=4πλ(0.3λ)θτ=216°

Q: A plane wave propagating in a lossless dielectric medium has an electric field given with a…

Q: How would you classify (imperfect dielectric or good conductor) the two materials, a and b, in which…

Q: Show that in a transmission line terminated with a pure positive reactive charge, the magnitude of…

Q: What are transmission lines and what are the effects and causes of transmission lines, then mention…

A: Transmission lines are the interconnection between the generation and distribution of electrical…

Q: If medium 2 is a perfect conductor with n2 = 0, then the transmission coefficient is? a) zero b) -1…

A: As per our company guidelines we are supposed to answer only first 3 subpart kindly repost other…

Q: A 100MHZ plane wave with amplitude 6 (V/m) is obliquely incident from air (z<0) into a lossless,…

A: Ei~=6ay∧e-jβ1a1∧β1=2πλ=2πc/f =2π3×108100×10-6=2π3

Q: A sinusoidal wave on a transmission line is specified by voltage and current in phasor form: Vs(z) =…

Q: The electric field phasor of a uniform plane wave in a lossless medium is given by E(y) = 10e-j0.2…

A: i) The electric phasor of the uniform plane wave is given as: E→(y)=10e-j0.2y z^ Vm On comparing…

Q: At 50 MHz, a lossy dielectric material is characterized by ɛ = 3.6ε μ 2.1μο, and o = 0.08 S/m. If E,…

A: As per the guidelines, we supposed to answer first three part of the question at a time so please…

Q: A uniform plane wave in air with E;(z, t) = âx 20 sin (10° t - B,z) (V/m) is incident normally on a…

A: Given: A uniform plane wave in air with Ei→=ax^20sin108t-β1z V/m is incident normally on a lossless…

Q: A dispersionless transmission line is one which the wave velocity is not constant as a function of…

A: In this we will write about dispersionless transmission line...

Q: A plane wave E' = 5 sin (wt- 6лх) ау + 10 сos (wt-6тx ) az (V/m) in a lossless %3D + 10 cos (wt- 6TX…

A: We need to calculate reflected wave , from given incident wave .

Q: A plane wave propagating through a medium with e, 8, µ, = 2 has E = 0.5 e* sin(10°t - B2) a, V/m.…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: For a surface radio wave with H = cos(107t) a, (H/m) propagating over land characterized by ɛ, =…

Q: lane wave in air with H(F,t)= 2 sin(ot - 4z) mA/m, is incident upon the planar surface of a…

Q: Which is correct for the reflection and transmission coefficients of the electromagnetic wave…

A: Reflection coefficients determine how much wave is is reflected at discontinuity of medium. It is…

Q: For a surface radio wave with H = cos(107t) ay (H/m) propagating over land characterized by ɛ, = 15,…

Q: a- define a shield b- calculate Reflection loss in dB for a plane wave incident in a shield with…

Question

Q5
Show, using transmission line analogy, that the reflection coefficient (T) for a
plane electromagnetic wave incident normally on a metal block is given by
(а)
Z -Zair
Z„ +Zair
where Zm and Zair are the wave impedances in the metal and air, respectively.
(b)
Consider a 100 MHz wave incident normally on an aluminium sheet of
conductivity o = 3.54×107 S/m.
(i)
Provide an approximation of the amount of signal that is reflected.
(ii)
For the signal which penetrates the sheet, calculate the distance
required for its amplitude to be reduced by 80 dB. Assume that the
attenuation factor is given by a = Jaf µo where f is the signal
frequency and u the permeability of the material.
(c)
Explain how the shielding of electronic equipment from high frequency
electromagnetic interference is achieved in practice.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

INCIDENT WAVE:

TRANSMITTED WAVE

REFLECTED WAVE

Reflection coefficient

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Transmission Line Parameter and Scattering Parameter (S-parameter)

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A sinusoidal wave on a transmission line is specified by voltage and current in phasor form: Vs(z) = Voeaz ejßz and Is(z) = 1,eaz ejßzejp where Vo and I, are both real. a) In which direction does this wave propagate and why? b) Consider that a = 0, Zo 500, and the wave velocity is v, = 2.5 × 108 m/s, with w = 108 s-1. S Find the resistance (R), the admittance (G), the inductance (L), the capacitance (C), the wavelength (1) and the current phase ().
The reflection coefficient (KR) of a transmission line that has a characteristic impedance of Zo=50 ohm/unit of length and a short circuit load is equal to 1 -1 O -2 O
In the transmission line below, Z0=50 ohm operating frequency is 100MHz and wave speed is given as v=10^8 m/s. If d=46cm and l=14cm are chosen to avoid any back reflection in the transmission line, the load impedance ZL=?
Derive the expressions for the Ex, Ey, Bx, By in Waveguides. Pls. show complete answer
The standing wave on a transmission line is caused by: Select one: a. The interference between V+0V0+ and I+0I0+. b. The interference between V(z)˜V(z)~ and V−0V0−. c. The interference betweenV(z)˜V(z)~ and I+0I0+. d. The interference between V−0V0− and I−0I0−. e. The interference between V+0V0+ and I+0I0+. f. The interference between V(z)˜V(z)~ and I−0I0−. g. The interference between V(z)˜V(z)~ and V+0V0+. h. The interference between V+0V0+ and V−0V0−.
A transmission line of characteristic impedance of Zo=50 ohm with length of A/4 loaded by a load impedance of 150ohm find 1- the load reflection coefficient 2- the standing wave ratio (SWR)
A 502 transmission line is terminated with a 502 resistor on series with a 2 * 10 H inductor. If the frequency of the operation is 60 10° MHz find the reflection coefficient at the load. * Select one: O a. 0.36e56 О .1 O c.0.45e22 O d. 0.6e 37 Oe. 0
COS (2T10 Problem 4. A voltage wave of the form V+ = (2x 10-4V) cos( t-kz is incident from cable 1 with characteristic impedance 201 = 1200 onto a connection to cable 2 with characteristic impedance Z02=1002. Take the speed of the cable wave in each cable to be 2 x 10 m/s. A) Find the amplitudes of the reflected and transmitted voltages. B) Find the incident, reflected, and transmitted powers.
مودود WIDTH ch7 for the cable. A wave traveling in a lossless, nonmagnetic medium has an electric field amplitude of 24.56 7-31 V/m and an average power density of 2.4W/m². Determine the phase velocity of the wave. 2-4
c) For a transmission line w/characteristic impedance Z0 = 50 W. At some point of the line, a forward wave has the voltage V+ = 10V and backward wave has the voltage V- = 4V. i) Currents of the forward wave and backward wave at that point. ii) Measured voltage and current at that point. d) A transmission line has the following properties: Length, L = 3 m. Characteristic impedance Z0 = 50 W. The load impedance ZL = 100 W. And phase constant b = p/3. Assume the forward voltage at z = 0 is VA =10ejp/4 At z = 3m, calculate: i) Forward voltage and forward current. ii) Backward voltage and backward current. iii) Measured (total) voltage and current across the load
2. The reflection coefficient of a load is FL=0.8. Determine: (a) VSWR
Electrical Engineering 3. Write the expressions for energy reflectance r and transmittance t for an acoustic wave incident from water side onto a steel interface. Insert values of Zwater = 1.5 MRayl and Zteel = 46 MRayl and calculate values. From the diagram below, give the values of r and t and compare to your answers from the formulas. acr 0.8 0.6 0.4 0.2 10 dar 20 acr 30 40 Incident angle, deg. Energy conversion coefficient