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Jim Kelley wrote:
I guess one could infer that that if G / C R / L, and R + jwL G + jwC, then perhaps there are losses. I would only add that there are probably also small currents in shunt distributed along the line. If R 0 and G 0, then there are losses. The only time a line is lossless is when R = G = 0 which, according to Reg, is only in my wet dreams about circles on Smith Charts. :-) For real world transmission lines at HF, (usually) R/Z0 G*Z0. When I was a member of the high speed cable group at Intel, I remember test leads designed for R/Z0=G*Z0 but they were expensive special order devices. We apparently are more successful at designing very good dielectrics than in finding an economically feasible conductor with a couple of magnitudes less resistance than copper. Thus our ordinary transmission lines have a lot more series resistance than shunt conductance, especially open-wire transmission lines in free space. :-) -- 73, Cecil http://www.qsl.net/w5dxp |