Given a set of resistors connected in series to an AC power supply:
- What formula governs the peak-to-peak voltage which will be measured when voltage is probed over individual resistors and sets of resistors in that circuit?
- What is a good way to think about this construction so the answer to question #1 is obvious and intuitive?
Intuitively, I would think that the measured voltages would be the same as in a DC circuit such that:
V_out = (R_partial/R_total) V_in
Where V_out is the voltage which is probed, R_partial is the total resistance of the sub-set of resistors which are being probed and R_total is the total resistance in the circuit.
This formula makes sense intuitively because the current throughout a circuit of series components is everywhere constant and according to Ohm's law for a constant current, the higher a given resistance over an area the higher the voltage potential measured there.
Is this correct for AC circuits as well?