Hey ozark; I've been reading your formula. I did a little editing so's I could get a general perspective of it. Where it states ( cycle of oscillation), I marked it for identification to later text. Does this read correctly to you? If so; let's take on the math part...
ozarkhillbilly49 edited Formula
Here we go on ‘Wavelengths’!! 4B we are going to look at a “cycle of oscillation *1”. Let’s imagine we have a [ line ] that represents zero [ 0 ] value { this value is usually ~ Voltage } . A [sine wave or rf {radio frequency} wave] will have [ + ] components (above the line) and [-] components (below the line) remember the line is [ 0 ] . Now we take off and head down the line as the volts begin to rise.
When we get to point of ‘peak value’ ~ if we drop a line from the peak to the 0 line straight down so they intersect at a 90 degree angle we just found a 1/4 wave! Now if we go down the line to where the value falls back to 0 we just found a ½ wave. If we go down to the negative peak and bring a line up to the 0 line at a 90 degree angle we found a 3/4 wave. If we travel to the next 0 point we just found a full wave!
Now remember we are talking about rf (radio frequency). It travels in different stuff. Example: (it travels in air), (the vacuum of space), (the copper traces on the boards in our radios). ( It travels in our feedlines and antennas). It travels at different speeds in all of those things!!!!! WHAT!!!!
HOW CAN THAT BE? The answer is simple, ‘Resistance’. In the fastest medium (free space) electrons can change places very fast!!! In one of the slowest mediums electrons cannot change places as fast due to effects of the {conductor} and {insulation}!!! That slow medium is of course [[coax]]!!
Now remember our line. If the cycle *1 (or wave) is going slower it will travel a shorter distance for all the neat little points we found!!
Make sense so far?? Puzzle on this'un for a while 4B. Drop a line back and tell me if this makes sense to you. If it does we will do a little math next time!!!