Question

The circuit power factor of an RC circuit is 0.620. The rms value of the ac voltage applied to this signal is 120 V and the impedance is 200 Ω. What is the average power of this circuit?

Answer 1

Average power of this circuit, P = 44.64 watts

Step-by-step explanation:

It is given that,

The power factor of RC circuit,
`cos\theta=0.62`

The rms value of the AC voltage,
`V_(rms)=120\ V`

Impedance of the circuit, Z = 200 ohms

The average power of this circuit is given by the formula as follows :

`P=V_(rms)* I_(rms)* cos\theta`

`P=V_(rms)* (V_(rms))/(Z)* cos\theta`

`P=120* (120)/(200)* 0.62`

P = 44.64 watts

So, the average power of this circuit is 44.64 watts. Hence, this is the required solution.