Power Relation in the AM wave:
If the modulated wave is applied to a resistor of resistance R(say antenna circuit), then the r.m.s. power dissipated in theform of heat is,
Pr.m.s = (1/R)Ec /222 + maEc /222 + maEc /222
Prms = (Ec 2 /2R) 1 + (ma2 /2) = Pc1 + (ma2 /2)
(where Pc is power dissipated by unmodulated carrierwave)
If ma = 1, then Prms Pmax and Pmax = 3 Pc /2
Similarly, Power carried by both side bands PSB = Prms / 3which is wasted.