1. The problem statement, all variables and given/known data Can a circuit be both series and parallel? Not series-parallel, but series *and* parallel? Let's say you have a battery with its positive terminal connected to a resistor and its negative terminal connected to the other end of the resistor. Due to conservation of charge, the circuit is in series. Due to the resistor being connected directly across the battery, it has the same voltage as the battery and thus it is in parallel with the battery. Right? So the circuit exists in both a series state and a parallel state...?