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Peak envelope power = peak voltage x .707, squared, then divided by  resistance (which with cb at 1:1 swr would be 50 ohms).


or


(Vp x .707)^2/50   or (Vrms)^2/50 seeing as you love rms so much.



for a 4w cb carrier,peak voltage would be measured at 20v x.707 =14.14v  (rms),


14.14v (rms) squared = 199.93v (rms) divided by 50 ohms = 3.998 watts pep,its  near enough that you can round up to 4w pep


you'll notice without modulation the carrier is 4w pep or 4w avg,both  mean the same in an unmodulated signal.




now when you modulate that carrier to 100%,


peak voltage measured would be 40v as 100% modulation doubles the  voltage,


so:


you now have 40v peak x .707 = 28.28v (rms)


28.28v (rms) squared = 799.758v (rms) divided by 50 ohms = 15.995watts  (pep),its near enough that you can round up to 16w pep.


you can clearly see when you double peak voltage which is exactly what  100% modulation does you quadruple carrier power.



Hopefully it will sink in now.:headbang:headbang