EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
7th Edition
ISBN: 9780100663657
Author: ULABY
Publisher: YUZU
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Textbook Question
Chapter 8, Problem 4P
A 200 MHz, left-hand circularly polarized plane wave with an electric field modulus of 5 V/m is normally incident in air upon a dielectric medium with ϵr = 4 and occupies the region defined by z ≥ 0.
- (a) Write an expression for the electric field phasor of the incident wave, given that the field is a positive maximum at z = 0 and t = 0.
- (b) Calculate the reflection and transmission coefficients.
- (c) Write expressions for the electric field phasors of the reflected wave, the transmitted wave, and the total field in the region z ≤ 0.
- (d) Determine the percentages of the incident average power reflected by the boundary and transmitted into the second medium.
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Solve this. find the initial conditions ic(0-) and vc(0-) the switch opens at t=0 so it's closed at t=0- dont copy the response from previous because it's wrong. please solve in great detail explaining everything step by step. now the way i thought about it is Getting millman voltage (1/3)-2 / (1/3)+(1/2) and it's the same as Vc as both are nodal voltages but i wasn't sure if correct. because i didnt take into consideration all voltages (Vc here) even though it's the same so i'm quite confused. please explain to me if i'm correct and if not tell me why and where my thinking was flawed. thank you
3. Consider the RL circuit with a constant voltage source shown in the diagram below. The
values of the resistor, inductor, and input voltage are R = 100, L = 100 mH, and Vo = 12V,
respectively.
Vo
-
Ti(t)
R
w
When the switch closes at time t = 0, the current begins to flow as a function of time. It
follows from Kirchoff's voltage law that the current is described by the differential equation
di(t)
L
dt
+ Ri(t) = Vo⋅
Chapter 8 Solutions
EBK FUNDAMENTALS OF APPLIED ELECTROMAGN
Ch. 8.1 - Prob. 1CQCh. 8.1 - In the radar radome design of Example 8-1, all the...Ch. 8.1 - Explain on the basis of boundary conditions why it...Ch. 8.1 - Prob. 1ECh. 8.1 - Prob. 2ECh. 8.1 - Obtain expressions for the average power densities...Ch. 8.2 - In the visible part of the electromagnetic...Ch. 8.2 - If the light source of Exercise 8-4 is situated at...Ch. 8.3 - If the index of refraction of the cladding...Ch. 8.4 - Prob. 4CQ
Ch. 8.4 - What is the difference between the boundary...Ch. 8.4 - Why is the Brewster angle also called the...Ch. 8.4 - At the boundary, the vector sum of the tangential...Ch. 8.4 - A wave in air is incident upon a soil surface at i...Ch. 8.4 - Determine the Brewster angle for the boundary of...Ch. 8.4 - Prob. 9ECh. 8.8 - What are the primary limitations of coaxial cables...Ch. 8.8 - Can a TE mode have a zero magnetic field along the...Ch. 8.8 - What is the rationale for choosing a solution for...Ch. 8.8 - What is an evanescent wave?Ch. 8.8 - For TE waves, the dominant mode is TE10, but for...Ch. 8.8 - Prob. 10ECh. 8.8 - Prob. 11ECh. 8.8 - Prob. 12ECh. 8.10 - Why is it acceptable for up to exceed the speed of...Ch. 8.10 - Prob. 13ECh. 8.10 - Prob. 14ECh. 8 - A plane wave in air with an electric field...Ch. 8 - A plane wave traveling in medium 1 with r1 = 2.25...Ch. 8 - A plane wave traveling in a medium with r1 = 9 is...Ch. 8 - A 200 MHz, left-hand circularly polarized plane...Ch. 8 - Prob. 5PCh. 8 - A 50 MHz plane wave with electric field amplitude...Ch. 8 - What is the maximum amplitude of the total...Ch. 8 - Repeat Problem 8.6, but replace the dielectric...Ch. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Repeat Problem 8.10, but interchange r1 and r3.Ch. 8 - Orange light of wavelength 0.61 m in air enters a...Ch. 8 - A plane wave of unknown frequency is normally...Ch. 8 - Consider a thin film of soap in air under...Ch. 8 - A 5 MHz plane wave with electric field amplitude...Ch. 8 - Prob. 16PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - A plane wave in air with E=y20ej(3x+4z) (V/m) is...Ch. 8 - Prob. 28PCh. 8 - A plane wave in air with Ei=(x9y4z6)ej(2x+3z)(V/m)...Ch. 8 - Natural light is randomly polarized, which means...Ch. 8 - A parallel-polarized plane wave is incident from...Ch. 8 - A perpendicularly polarized wave in air is...Ch. 8 - Show that the reflection coefficient can be...Ch. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - A 50 MHz right-hand circularly polarized plane...Ch. 8 - Consider a flat 5 mm thick slab of glass with r =...Ch. 8 - Derive Eq. (8.89b).Ch. 8 - Prob. 39PCh. 8 - A TE wave propagating in a dielectric-filled...Ch. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47P
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- 4. Consider the RL circuit with a sinusoid voltage source shown in the diagram below. The values of the resistor, inductor, input voltage amplitude and frequency are R = 5, L = 50mH, and Vo = 10 V, respectively. The input voltage frequency w is variable. Assume that the circuit has reached steady state. Voejwt + ↑i(t) R سيد The input voltage can be described using the complex sinusoid function V(t) = Voejwt The current is given by a sinusoid with same the frequency was the input voltage, but a different magnitude and different phase. The physical voltage and current are obtained by taking the real part. In complex form, the current is given by i(t) Vo ejwt R1+jw/ The differential equation that describes the current follows from Kirchoff's voltage law, and is given by di(t) L + Ri(t) = Voejwt dtarrow_forward2. (4 marks) Use the real and imaginary parts of ĉejut, where ñ = a + jb = e³, to show that: c cos(wt) = acos(wt) – bsin(wt), csin(wt) = a sin(wt) + bcos(wt). Describe the relations between a, b, c, and o.arrow_forwardCompute the thevenin equivalent between the two terminals a-b zeq and veq show all your steps and explain clearly what you did.arrow_forward
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