A sinusoidal voltage having a maximum amplitude of 225 V is

A sinusoidal voltage having a maximum amplitude of 225 V is applied to the terminals of a load. The load is a 100 Ohm resistor in series with a capacitor having Zc = -j60 Ohms. Find the average power delivered to the resistor.

Solution

maximum amplitude voltage vm=225 volts.

maximum amplitude current Im=225/(100-j60)=1.929<30.963 amps.

the average power is the power dissipated in the resistive part only.

average power=[(Im)^2*R]/2=[(1.929)^2*100]/2=186.05 watts.