Why In a parallel circuit every component connects between the same two nodes, so each one sees the identical potential difference. Current divides among the branches according to each branch's resistance (Ohm's Law, I = E/R), but the voltage across each branch is the same. That is why household outlets, all wired in parallel, each supply the same voltage regardless of what is plugged in.
Watch out A series circuit is the opposite case: the same current flows through every component, while the source voltage divides among them in proportion to their resistances.
Parallel = same Voltage, Series = same Current. Think "PV" and "SC".