I highly recommend his book 'An Imaginary Tale - The Story of the Square Root of Negative 1' to anyone who likes the spiritual language of math. In order to demonstrate the real-world usefulness of imaginary numbers, Mr. Nahin went through the time domain analysis of this circuit below. Anyways, this program allows you to change some values and plot out the various currents generated by a sinusoidal forcing function (voltage).
Try the default values by pressing the submit button...then try different values of the circuit elements and see how that affects things.
Here are a couple of things to remember when picking values.
The capacitor is like an open circuit to DC, so the lower the frequency of the source, the smaller the capacitor current.
The inductor is like a short circuit to DC, and an open circuit to real high frequencies.
Then try plugging in the resonant frequency to see how the input current and voltage move into phase with each other to produce maximum power output. (p=vi)Hope you enjoy this.
The default circuit.
