Does voltage increase or decrease in a series circuit? a parallel circuit?

Ohms law states that I = E/R, thus, the current is proportional to voltage. That's the plain vanilla answer. However, you don't state if the driving voltage is ac or dc and what sort of components are in your series circuit.

Thus, it is impossible to say with certainty what the outcome will be. Simple counter case, if your source is DC and one of the series components is a capacitor, the steady state current will be zero for any source voltage.

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