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Field and Wave Electromagnetics 2nd Edition by David Cheng
Edition 2ISBN: 978-0201128192Field and Wave Electromagnetics 2nd Edition by David Cheng
Edition 2ISBN: 978-0201128192 Exercise 36
The input impedance of an open- or short-circuited lossy transmission line has both a resistive and a reactive component. Prove that the input impedance of a very short section
![The input impedance of an open- or short-circuited lossy transmission line has both a resistive and a reactive component. Prove that the input impedance of a very short section of a slightly lossy line ( 1 and 1) is approximately (a) a) Z in = (R + j L ) with a short-circuit termination. b) Z in = ( G - j C)/[ G 2 + ( C) 2 ] with an open-circuit termination.](https://d2lvgg3v3hfg70.cloudfront.net/SM4967/11eb823e_d791_50c9_b220_192acb24cdca_SM4967_11.jpg)
of a slightly lossy line (
![The input impedance of an open- or short-circuited lossy transmission line has both a resistive and a reactive component. Prove that the input impedance of a very short section of a slightly lossy line ( 1 and 1) is approximately (a) a) Z in = (R + j L ) with a short-circuit termination. b) Z in = ( G - j C)/[ G 2 + ( C) 2 ] with an open-circuit termination.](https://d2lvgg3v3hfg70.cloudfront.net/SM4967/11eb823e_d791_50ca_b220_f98a91b8ca36_SM4967_11.jpg)
1 and
![The input impedance of an open- or short-circuited lossy transmission line has both a resistive and a reactive component. Prove that the input impedance of a very short section of a slightly lossy line ( 1 and 1) is approximately (a) a) Z in = (R + j L ) with a short-circuit termination. b) Z in = ( G - j C)/[ G 2 + ( C) 2 ] with an open-circuit termination.](https://d2lvgg3v3hfg70.cloudfront.net/SM4967/11eb823e_d791_50cb_b220_a3496b0c879b_SM4967_11.jpg)
1) is approximately
(a) a) Z in = (R + j L )
![The input impedance of an open- or short-circuited lossy transmission line has both a resistive and a reactive component. Prove that the input impedance of a very short section of a slightly lossy line ( 1 and 1) is approximately (a) a) Z in = (R + j L ) with a short-circuit termination. b) Z in = ( G - j C)/[ G 2 + ( C) 2 ] with an open-circuit termination.](https://d2lvgg3v3hfg70.cloudfront.net/SM4967/11eb823e_d791_50cc_b220_8d036c9d1eaf_SM4967_11.jpg)
with a short-circuit termination.
b) Z in = ( G - j C)/[ G 2 + ( C) 2 ]
![The input impedance of an open- or short-circuited lossy transmission line has both a resistive and a reactive component. Prove that the input impedance of a very short section of a slightly lossy line ( 1 and 1) is approximately (a) a) Z in = (R + j L ) with a short-circuit termination. b) Z in = ( G - j C)/[ G 2 + ( C) 2 ] with an open-circuit termination.](https://d2lvgg3v3hfg70.cloudfront.net/SM4967/11eb823e_d791_50cd_b220_6346ac22a6fa_SM4967_11.jpg)
with an open-circuit termination.
of a slightly lossy line ( 1 and 1) is approximately(a) a) Z in = (R + j L )
with a short-circuit termination. b) Z in = ( G - j C)/[ G 2 + ( C) 2 ]
with an open-circuit termination.Explanation
Verified
Verified
a)
Consider the formula for input impeda...
Field and Wave Electromagnetics 2nd Edition by David Cheng
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