Simple RLC Circuit

1. Jul 3, 2006

Question:
A parallel RLC circuit, which is driven by a variable frequency 10-A source, has the following parameters:
$$R=500\Omega$$
$$L=0.5mH$$
$$C=20\muF$$

Find the resonant frequency, the $Q$, the average power dissipated at resonant frequency, the $BW$, and the average power dissipated at the half-power frequencies.

$Q$, $\omega_0$, and $BW$ are all straightfoward calculations.

$$Q = 100 [/itex] [tex] BW = 100 \frac{rad}{sec}$$
$$\omega_0 = 10000\frac{rad}{sec}$$

The half power frequencies are:
$$\omega_{hi} = 1005.01$$
[tex] \omega_{lo} = 995.01 [/itex]

I don't understand how to calculate the average power dissapated at resonant frequency, OR at the half power frequencies. If someone could give me a push in the right direction, that would be swell

Last edited: Jul 3, 2006
2. Jul 3, 2006