Problem 3 (10 points) (Chap 3) (Learning objective: Wave Propagation in TEM transmission line)A voltage wave exists on a transmission line. This wave is expressed as the phasorV(x) = Voe+jBxThe phase of Vo is 7/3 radians. What is this voltage wave as a function of both position andtime, and in what direction is the wave traveling?

Step 1: Step 2: Step 3: Step 4:

Answered: Problem 3 (10 points) (Chap 3)…

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...

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A wave signal travelling along an electrical transmission line (usually called incident wave) will be reflected back in the opposite direction when the travelling signal encounters a discontinuity in the characteristic impe- dance. This can happen in real life if we join dissimilar transmission lines together. Signals travelling alone the line will be partially reflected at the junction (see illustration below; note that up to this point we have not asked you any question yet). Impedance Discontinuity Forward Current Propagating Voltage Wave Z01 Zo2 Return Current Z01 Zo2 Incident Wave Transmitted Wave Reflected Wave Transmission Line Reflection Suppose a transmission line with characteristic impedance Zo is terminated at one end with an impedance of ZL (recall that impedance is a complex number Z = X +iY where X is the resistance and Y is the reactance), then the reflection coefficient I' is given by the voltage reflection equation ZL – Zo ZL + Zo where I, ZL = XL + iYL, and Zo Xo +…
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3) Solve the cutoff frequency for the first mode and second mode of WR975 Wave guide TABLE 7.1 Some Standard Rectangular Waveguides Waveguide de signation a (in) b (in) t (in) fe, (GHz) Frequency range (GHz) WR975 9.750 4.875 0.125 0.605 0.75-1.12 WR650 6.500 3.250 0.080 0.908 1.12–1.70 WR430 4.300 2.150 0.080 1.375 1.70-2.60 WR284 2.840 1.340 0.080 2.08 2.60-3.95 WR187 1.872 0.872 0.064 3.16 3.95-5.85 WR137 1.372 0.622 0.064 4.29 5.85-8.20 WR90 0.900 0.450 0.050 6.56 8.2–12.4 WR62 0.622 0.311 0.040 9.49 12.4–18
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 ().
Q.1. choose the appropriate answer 1- When neither E nor H field is transverse to the direction of wave propagation. They are sometimes referred to as ...... a) hybrid mode b) TM mode c) TME modes d) TEM mode 2- If PLF-0 dB means......... a) Power is lost 100% b) Power is lost 0% c) Power is lost 50% d) none of the above 3. The half wave dipole is widely used in more applications compared to other linear antenna lengths, that is because..... a) It has high gain b) its easy matching to coaxial 75 Ohm cable c) low loss d) it has small size 4- The mode distribution for the end view waveguide shown below is a) TM12 b) TM21 c) TE20 end view d) TE02 5. When circular right hand polarized wave incident upon a horizontally polarized wave the PLF is a) 0 b)1 c)0.5 d)0.707
The figure below is a cross-sectional view of a coaxial cable. The center conductor is surrounded by a rubber layer, an outer conductor, and another rubber layer. In a particular application, the current in the inner conductor is I, = 1.16 A out of the page and the current in the outer conductor is I, = 2.90 A into the page. Assuming the distanced = 1.00 mm, answer the following. d (a) Determine the magnitude and direction of the magnetic field at point a. 2.32e-4 magnitude If you construct an imaginary circle of radius d passing through point a, how much current passes through this circle? UT direction ---Select--- (b) Determine the magnitude and direction of the magnetic field at point b. 1.16e-4 magnitude You can approach this problem by finding the field produced by current I, and the field produced by I, and then adding them vectorially. µT direction ---Select---
please provide a reflection on this problem.
1
A circuit is shown in Figure (Q1). The line is 2 m long and the dielectric constant is such that the velocity on the line is 2.5 x 10° m/s. The line is terminated with a receiver having an input resistance of -j 300 n and has an input source with an internal impedance of 300 n and a peak amplitude of 60 V at a frequency of 100 MHz. Determine the reflection coefficient, the standing wave ratio, and the input impedance. 300 2 60 V 100 MHz Z. = 300N, U = 2.5 x 108 m/s -j 300 a 2 m Figure (Q1)
Problem 6. In what situations are the group and phase velocities equal for an electromagnetic wave?
Q3. a) (i) The magnetic field of a TEM plane wave can be written in phasor form as H=H, exp j(oot+ẞz) â, A/m
handwritten please

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