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.

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
Problem 5.15MCQ
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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.
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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