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There is no such a thing as power/watts rms.for a purely resistive load AVG power is taken from the product of rms voltage and rms current.


So technically the P.E.P power is a far more meaningful measurement than any "rms power" measurement,with a pure sine wave the P.E.P power is 2.6 times the avg modulated power at 100% modulation or 4 times the avg carrier power. 


Its not about big numbers its about technical accuracy.   


As freecell has pointed out numerous times before,most semiconductor manufacturers rate their devices in P.E.P so it helps too know what the P.E.P power is if you wan't to avoid melting those rf power transistors.