A voltage v(t)=v0+2cos(ω0t)+5cos(3ω0t)+cos(5ω0t) drives the shown series capacitor and 1 Ω resistor. The capacitor is a short for every AC component and blocks DC. Find resistor power in watts, nearest integer.
The DC term is blocked. Orthogonal sinusoidal harmonics contribute independent mean-square voltages: 2²/2+5²/2+1²/2=(4+25+1)/2=15 V². Dividing by one ohm gives fifteen watts. Cross terms average to zero over the common period.
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