Write down the general expression for the input impedance of a transmission line of length 1 and characteristic impedance Zo terminated by a load impedance Z1 . A complex load admittance Y = (a - j b)/ Zo terminates a length of line quarter wavelength long. Show that an impedance of (jb Z, ) will have to be connected in series with this line to create a purely real input impedance. What length L of short circuited line of characteristic impedance Zo and propagation constant ß would this correspond to? A quarter wave section of transmission line, is now inserted between this line (which includes the added series impedance) and a voltage source of internal impedance Zo. Show that the new line should have a characteristic impedance of Zo va in order to produce a matched load.

Write down the general expression for the input impedance of a transmission line of length 1 and characteristic impedance Zo terminated by a load impedance Z1 . A complex load admittance Y = (a - j b)/ Zo terminates a length of line quarter wavelength long. Show that an impedance of (jb Z, ) will have to be connected in series with this line to create a purely real input impedance. What length L of short circuited line of characteristic impedance Zo and propagation constant ß would this correspond to? A quarter wave section of transmission line, is now inserted between this line (which includes the added series impedance) and a voltage source of internal impedance Zo. Show that the new line should have a characteristic impedance of Zo va in order to produce a matched load.

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

Similar questions

A distortionless transmission line has a resistance per unit length of 0.5 ohm/m. If the characteristic impedance of the line is 50 ohm, them what will be the attenuation constant of the line in Neper (Np)/m?
prove that a maximum power is transferred from a voltage source with an internal impedance Zg to a load impedance Zl over a lossless transmission line when Zg=Zi conjugate.what is the maximum power transfer efficiency?
1. What is the necessary condition for matching transmission lines? In addition, what is a micro strip line? 2. For a distortion less line α = 0.02dB/m, Z0 (R0) = 60Ω and C = 0.2nF/m. Find the resistance and velocity of wave propagation. [Do not forget the units.] 3. For a finite lossless transmission line with open-circuit termination, sketch Xio vs l. Indicate where the sketch is inductive and capacitive.
A 50Ω lossless transmission line is terminated with a load impedance valued ZL = RL + jXL.According to what is given, a) RL for Voltage Standing Wave Ratio to be 2What should be the relationship between XL and?b) If RL = 100Ω, find the value of XL.c) Find the voltage minimum point closest to the load on the line.
I want a solution for branches A and B, pleaseA) Determine the primary constants, R, L, G, and C for a distortion-less line working at 300 MHz. Given that the line has characteristic impedance, Zo=750, attenuation constant a=0.12Np/m, and wave velocity, v=1.4×10 m/sB) A lossless transmission line used in a TV receiver has a capacitance of 50 pF/m and an inductance of 200 nH/m. Find the characteristic impedance for sections of a line 10 meter long and 500 m long.
A 105MHz, 90 v peak signal is incident on a 50-ohm transmission line. The line is 125m long and is terminated in 300-ohm load. What is the SWR for this situation? Find the reflection coefficient.
A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L = 0.2μH/m and C = 80 pF/m. The line is terminated by a load ZL = 50 + j20 Ω. Determine the: (a) reflection coefficient ; (b) SWR ; (c) the input impedance of the line. (d) What average power is delivered to ZL if the input voltage is 100 V?
An extra high voltage transmission line of length 300 km can be approximated by a lossless line having propgation constant is 0.00127 rad/km. The percentage ratio of line length to wave length will nearly by ?
At 3 GHz, a shorted parallel sideline will be used to match a 60 ohm transmission line to a load impedance of ZL = 30 - j60 ohms. What should be the length of the parallel lateral line, in mm? Calculate using the Smith diagram.
. A 70 cm long lossless transmission line with characteristics impedance of 50 Ω operating at 5Mhz is terminated with a load of ?? = (65+j80) Ω. If the velocity is 0.8 times the velocity of light, then calculate (a) The reflection co-efficient, also verify the value using the given smith chart. (b) Compute the input impedance using the transmission line input impedance equation 50 Ω line is terminated with an impedance of ??= (90 – j120) Ω. Design a shortcircuited single stub matching circuit using Smith chart that is provided
The impedance and propagation constant at 241 MHz for a transmission line are Z0 = 43 - j2 Ω and γ=2 + j7 m-1. Determines the parameters per unit length of the line.
The lossless network given below is excited with a microwave source having frequency f=9,6 GHz. For the air transmission line L=7,7 nH/m, C=3,1 pF/m. Find the characteristic impedance of the transmission line Z0=? (Ω)