Answer:
Average power of this circuit, P = 44.64 watts
Explanation:
It is given that,
The power factor of RC circuit, [tex]cos\theta=0.62[/tex]
The rms value of the AC voltage, [tex]V_{rms}=120\ V[/tex]
Impedance of the circuit, Z = 200 ohms
The average power of this circuit is given by the formula as follows :
[tex]P=V_{rms}\times I_{rms}\times cos\theta[/tex]
[tex]P=V_{rms}\times \dfrac{V_{rms}}{Z}\times cos\theta[/tex]
[tex]P=120\times \dfrac{120}{200}\times 0.62[/tex]
P = 44.64 watts
So, the average power of this circuit is 44.64 watts. Hence, this is the required solution.
