On Apr 15, 10:47*am, Home Guy wrote:
...
And note what happens when the voltage sources have unequal voltages.

And note that we are not talking about batteries here in the case of a
municipal power grid and a PV system.
...

Considering the level of this discussion when the solutions are simple
algebra, you aren't ready to handle the analytical geometry and
differential equations of AC circuit analysis.
http://www.allaboutcircuits.com/vol_2/index.html
http://www.circuit-magic.com/laws.htm

jsw