High SWR cannot be changed by cutting something off the antenna.
As a matter of fact high SWR most certainly can be adjusted by changing the length of an antenna the majority of the time.
Specifically if you have high VSWR at the higher frequency end of the band, and lower SWR at the low end, this means the antenna is longer than desirable, and then trimming the length is exactly the right answer.
10 meters radio requires you to remove about 4 inches off the top or bottom of the antenna.
Or don’t use the 6” spring at the bottom of the antenna.
But didn’t you just say above that you do not change the SWR by cutting anything off the antenna?
The difference between 10 meters and 11 meters ( Chicken Band ) is 1 mhz.
A little more than 1 MHz, closer to 2 MHz. However, lets go with that 1 MHz number for a bit. If it is really only 1 MHz than there is no reason why a single antenna cannot work for both 11 and 10 M. 1 MHz is only about 3.5% of bandwidth for a 10M frequency. A good antenna can often do 3.5% bandwidth or more, depending on the exact design.
Now, the problem is the higher the Q of the antenna the lower the bandwidth. And one way (among many) to increase Q is to use loading coils or to physically shorten the antenna while maintaining the same electrical length.
This means a loaded antenna might, or might not, do both CB and 10M, depending on the exact antenna, but a 102” whip (minus spring) can indeed do both bands with less than 2:1 SWR. In fact, the one on my truck will do a 4.9 MHz 2:1 bandwidth centered on 28 MHz when 2” was removed from the antenna. With stock length it also did a 4.9 MHz 2:1 bandwidth but the center was more around 27.7 MHz. There was really no need to remove the 2”, because the antenna exhibited acceptable SWR from 25.0 MHz to 29.8 MHz, but trimming the antenna changed it from “acceptable” to “good”, and more centered on my desired frequencies. In fact, the 1.5:1 bandwidth now includes all of the ham 10M band and the CB band, roughly 2.8 MHz of bandwidth (26.965 MHz to 29.700 MHz). And this is close to a 10% bandwidth.
If a person wanted to use the spring at the base of the whip you would have to remove a few inches (about 6 or 8) to achieve the same results. Remember, always remove less than you think you need to, it is easy to trim some more, hard to add it back.
Hence a 20 meter antenna - 14 Mhz would be twice the size of a 10 meter antenna (29 mhz or 29 MC to be more exact)
Well, a 14 MHz antenna would be twice the size of a 28 MHz antenna.
By the way, the “H” in MHz is always capitalized, it is a mans name, after all. And the “M” in MHz is also capitalized, otherwise your are not saying “mega”, but rather “milli”. And 29 milli-Hz is a lot different from 29 mega-Hz.
You do not spend $10,000 to build a repeater and then build the tower next to your house because that is where it is most convenient. You build the tower on top of the highest hill or mountain you can find and as far away from people as possible - to limit the amount of exposure to the RF side of things.
Odd, and here all this time I thought those repeaters were up on hills, mountain tops, and tall buildings to push out the radio horizon and increase the coverage areas. It is a lot cheaper to put a 100 foot tower on top of a 1500 foot hill than it is to build a 1600 foot tall tower.
A nice side benefit is that you do not have to worry about people being close to it, people who might do things to cause interference as well as might be exposed to some minimal RF.
My advice is for you to buy a better 1/4 wave antenna - such as a Larsen and have someone professionally install it and tune it for your vehicle.
Good antennas always pay off. Get a good one, not just one you like because it looks cool. Larsen is a fine brand, and there are others. Also remember that with antennas bigger is almost always indeed better. Get the tallest antenna you can that fits your needs, if you park in parking garages often a 102” whip might not be for you.
On the other hand, one thing you have not looked at is using a better coax.
RG 58 - normal coax for a mobile install - throws away a forth the signal in the wire in 18'..
Using a longer wire - does not help - because if you have to coil it up, it becomes a simple choke.
Actually, the quality of the cable matters a lot. For example, a good quality RG-58, like Belden 8240 RG-58/U, might have less than 0.5 dB loss in 18 feet. At 0.5 dB loss a 4 Watt signal would have 3.56 Watts at the end of the cable. A poor quality cable will have more loss, possibly even as much as the one forth loss you mention, but that will be some pretty bad cable.
I do not advocate using longer cable to control SWR, but not because coiling it causes issues. However, for the very reason I said above, the loss is not that high, you need a loooonnng cable to affect SWR by enhanced loss (on the order of 3 dB or more needed, so say 50+ feet of junk cable at CB frequencies). And 3 dB of loss in the transmit path is also 3 dB of loss in the receive path. There are ways to trim the cable to specific lengths impact perceived or indicated SWR, but no need to go into that now, better to just do it right.
The very nice thing about a coiled piece of coax at HF frequencies is it can indeed become a common mode choke, lessening common mode noise. So you often find it done intentionally, with the coil as close to the antenna feed point as possible.
T!