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Solving RLC Circuits I (series)

In my Physics for Engineer's class, we are currently learning about solving RL and RLC circuits using complex numbers. It is also possible to find solutions to these circuits using a polar notation of vectors in a phasor diagram. I find it easier to use complex numbers, so we'll do that.

When presented with an RLC circuit, follow these steps to solve for the current, voltage and impedance through the different components.

*First you need to identify if you're dealing with components in series, parallel or a mix of the two.

SERIES
Write up a table that looks like this:

Fill in the values according to the variables I put in the table above. You'll notice that the values for the current across the resistor, inductor and capacitor are the same. This is obvious seeing as current remains the same in a series circuit. All of the values are in complex form (a + bj), so they can be easily added, subtracted and multiplied.

I'll write up another short tutorial for parallel and mixed circuits.