Series Resistor Calculator

Enter two or more resistor values to get the series equivalent — a straight sum, with the biggest resistor's voltage share shown.

Series Resistor Calculator inputs

Last updated: 2026-09-28

How the calculation works

  • Series resistances simply add — the same current flows through every element.
  • Voltage divides proportionally: the biggest resistor takes the biggest share of the supply.
  • The percentage row shows the dominant element's share at a glance.

Formula

R_eq = R₁ + R₂ + ... + Rₙ
Formula variables
SymbolMeaningUnit
R_eqEquivalent series resistanceΩ

Worked example

470 Ω + 1 kΩ in series: 1470 Ω. On a 12 V supply, the same 8.16 mA flows through both; the 1 kΩ drops 8.2 V (68%) and the 470 Ω drops 3.8 V — the voltage divider pattern in series form.

Interpreting the result

Series adds resistance (and inductance, and capacitor ESR); parallel adds conductance. Series is how you build values you cannot buy, share voltage across elements, or add current limiting. Two caveats: tolerance stacks (±5% parts in series make ±5% of the sum, not of each), and power rating stays per-element — each resistor dissipates its own I²R share.

Assumptions

  • Ideal resistors in a single series path.
  • Same current through every element (true series connection).

Limitations

  • No stray effects (lead inductance/capacitance) at high frequency.
  • Not for mixed series-parallel networks — reduce them in stages.

Frequently asked questions

What is the formula for resistors in series?

Just add them: R_eq = R₁ + R₂ + … The same current flows through all; voltages divide in proportion to each resistance.

When should I use series instead of parallel?

Series when you need a bigger resistance or to split voltage/power across elements; parallel when you need smaller resistance or to share current.

Related tools

Technical references