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
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Transcribed Image Text: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 -jb)/ Zo terminates a length of line quarter wavelength long. Show
that an impedance of (jb Zo) 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 B 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.
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