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Short answer is NO, coax doesn't change the SWR only the antenna can.


If your antenna is a 50 Ohm load no special coax lengths needed.


If your antenna is anything other than 50 ohms (ie swr greater than 1.5:1) Or you have some common mode issues, then coax length make a huge difference. You can mask a poorly tuned antenna with carefully cut coax or visa versa make a poorly tuned antenna worse.


This subject has been beaten to death, here is the best explanation that I can find.


[MEDIA=youtube]g_jxh0Qe_FY[/MEDIA]


In mobile applications where a perfectly tuned antenna isn't always ideal.(102" whip should be 1.5:1 SWR or 75 ohms) I will use a custom length coax so the mobile amp sees 50 ohms.