Show that the input impedance of a lossy transmission line of length L connected to a loadimpedance of Z is given byZ₁Cosh(yL) + ZoSinh(yL)Zin = Zo ZoCosh(YL) + Z₁Sihh(YL)exWhere Cosh(x) =and Sinh(x) =are the hyperbolic cosine and sine, respectively.22

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Answered: Show that the input impedance of a…

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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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
Each phase of a transmission line is a bundle of 4 conductors that form a square with all sides equal to d=33 cm. Each conductor is stranded and has GMR = 0.5 cm. Find GMR of the bundle to be used in inductance calculations. Express your answer in cm with 2 digits after decimal point
The capacitance per unit length and the characteristic impedance of a lossless transmission line are C and Zo respectively. The velocity of a travelling wave on the transmission line is (a) Z.C (c) Zo C - UN (b) Z.C (d) Z
I turned the voltage value of the AC source into Vrms and got magnitude 16.97 & angle 10.Then calculated the impedance of Load A to be [ -9.28 - j23.4 ]. From that, I calculated the complex power of load B to be [ -2.42 + j6.33 ] my power factor calculation I am using inverse tan ( Q/P) , where Q i got -1.91 & P to be 5.559, which I got from my total complex power. If that helps. But I am calculating a negative power factor, so i am curious where I went wrong, Thank you!
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How can you use a vector network analyser to measure frequency when the characteristic impedance is 125 ohms? What would be the new characteristic impedance?
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(B) A 50-12 lossless 2-m length transmission line is connected to a load composed of a 75- resistor in series with a capacitor of unknown capacitance as shown in the Figure. If at 10 MHz the input impedance is 20 +j10 with phase velocity of 2.5x108 m/s, determine the capacitance C. Zo-50 52 R₁-7552 C=?
1. a. A purely reactive load impedance Z₁ =jX terminates a transmission line. Prove that the reflection coefficient magnitude |K| is always unity, assuming the characteristic impedance Zo is real. What is the VSWR of the line in this case? b. Consider the transmission line in the figure. i. Determine the SWR on transmission line ii. The input impedance If=102, find I, in the figure. WC 100/0*V] 20 922 Air, lossless Z-50 £2 2.72 40 2 ele 3002
This is a review question from an old exam:A 50-MHz generator with Zg =50Ω is connected to a load ZL= (50 –j 25). The time average power transferred from the generator into the load is max when Zg=ZL, where ZL is the complex conjugate of ZL. To achieve this condition without changing Zg, the effective load impedance can be modified by adding an open circuited line in series with ZL, as shown in the following figure. a) If the line’s Z0=100Ω, determine the shortest length of line (in wavelengths) necessary for satisfying the maximum power transfer condition. b) Determine for the same problem for a short circuit line in series with ZL.
ENG3043 Tutorial I A DC voltage source (Vs=10 V) is connected to a load (Z= 100 2) via a lossless transmission line (TML) as shown below. The voltage source has an internal impedance Zg–50 £2 and the TML has a characteristic impedance Z- 75 2. i. Calculate the phase velocity of the TML if its effective permittivity c is 2.56; ii. Calculate the source and load refection coefficients; iii. At t-0, the switch is closed. Draw the voltage waveform V(z.1) on the TML at t=2.5T where T is the time taken traveling from one end of the TML to the other and z refers to any position on the TML iv. Draw the voltage waveform at z=3/4 from the source for the time period between 0 and 37; v. If the switch was open at =1.57, draw the voltage waveform at z=l/2 from the source for the time period between 0 and 37

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Show that the input impedance of a lossy transmission line of length L connected to a load impedance of Z is given by Z₁Cosh(yL) + ZoSinh(yL) Zin = Zo ZoCosh(YL) + Z₁Sihh(YL) ex Where Cosh(x) = and Sinh(x) = are the hyperbolic cosine and sine, respectively. 2 2