My first series and parallel circuits

Yes since parallel combination is 2.1818 Ohms and series is 24 Ohms. This is 11 times so the voltage would be 11x 12 = 132.

Is there a law name for what you're talking about?

It's based on Ohm's law, V=I x R. From this the values of the series resistors are added together as you might expect, 12+8+4=24. For the parallel ones it's 1/RT = 1/R1 + 1/R2 + 1/R3, which gives a value of 2.1818. If you divide the total resistances of the 2 circuits (24/2.1818) you see that the series circuit is almost exactly 11 times the value of the parallel one. Since V=I x R, if the current remains the same and the resistance is 11 times greater then the voltage must be 11 times greater to achieve that current through the series resistors. You can see how the formulae for the resistors is derived here http://www.bbc.co.uk/bitesize/higher/physics/elect/resistors/revision/1/

Happy to discuss further if you wish :-)

that makes sense. Im jumping into the power systems version of electrical engineering via arizona state university's online course. i found this program and I can see it being very helpful in my learning process for the future. i'll be trying to use it to replicate Solar voltaic circuits that i install at work too. I work for HNU solar on Maui. I was looking at LTSpice for future programs that I could use for my work. Do you know of any other entry level programs that i might be interested in?

For iPhone/iPad there is iCircuit. It's not presented on screen so well as EC but has a few components that EC doesn't such as speaker, microphone, 78xx series voltage regulators, thermistor, photo resistor, buzzer, crystal resonator, scr, accelerometer, some 4000 series logic gates etc. I haven't used it much myself so can't really say much about it.

For help with equations/info etc. (for iPhone etc. - don't know about PC versions) look at Electronic TB, ElecToolkit and LEC (Lessons in Electric Circuits).