Voltage & Current Divider Rules (VDR & CDR) Equations

Electrical Technology

Voltage Divider Rule (VDR) & Current Divider Rule (CDR) Equations & Formulas

Voltage division and current division are useful techniques which are used to express the voltage and current across one of the several series or parallel resistors in terms of the voltage and current across the combination respectively.

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Voltage Divider Rule (VDR)

VDR or Voltage Divider Rule is only applicable when there is more than one resistances or impedances in series. In the parallel combination of resistors, the voltage remains the same.

Voltage Divider Rule For DC Circuit:

Where

V_n = Voltage across Resistor R_n
V_s = Supplied voltage or total voltage across resistance network
R_n = Resistance of resistors, where n = 1,2,3..

Voltage Divider Rule For AC Circuit:

Where

V_n = Voltage across Impedance Z_n
V_s = Supplied voltage or total voltage across impedance network
Z_n = Impedance, where n = 1,2,3..

Current Divider Rule (CDR)

CDR or Current Divider Rule is only applicable when the resistance network is connected in a parallel combination. In series combination, the current remains the same through the resistance network.