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The Lossless Transmission Line - ITTC

1/20/2005 The Lossless Transmission 1/4. The Lossless Transmission Line Say a Transmission line is Lossless ( , R=G=0); the Transmission line equations are then significantly simplified! Characteristic Impedance R + j L. Z0 =. G + j C. j L. =. j C. L. =. C. Note the characteristic impedance of a Lossless Transmission line is purely real ( , Im{Z0} =0)! Propagation Constant = ( R + j L)( G + j C ). = ( j L)( j C ). = 2LC. = j LC. The wave propagation constant is purely imaginary! Jim Stiles The Univ. of Kansas Dept. of EECS. 1/20/2005 The Lossless Transmission 2/4. In other words, for a Lossless Transmission line: = 0 and = LC. Voltage and Current The complex functions describing the magnitude and phase of the voltage/current at every location z along a Transmission line are for a Lossless line are: V ( z ) = V0+ e j z + V0 e + j z V0+ j z V0 + j z I( z ) = e e Z0 Z0.

transmission line parameters L and C: 21 fLC π λ β == 1 v p LC ω β == p Unless otherwise indicated, we will use the lossless equations to approximate the behavior of a low-loss transmission line. Q: Oh please, continue wasting my valuable time. We both know that a erfectly lossless transmission line is a physical impossibility. A: True ...

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