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Calculators/Physics/Resistors in series & parallel
Physics

Resistors in series & parallel calculator

Combined resistance of up to four resistors.

What this calculator does

Resistors in series & parallel works out combined resistance of up to four resistors. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaSeries: R = R₁+R₂+… · Parallel: 1/R = 1/R₁ + 1/R₂ + …

The inputs explained

FieldWhat to enter
R₁ (Ω)A number, measured in Ω. Starts at 100.
R₂ (Ω)A number, measured in Ω. Starts at 220.
R₃ (0 to ignore) (Ω)A number, measured in Ω. Starts at 0.
R₄ (0 to ignore) (Ω)A number, measured in Ω. Starts at 0.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with r₁

Every other input is held at the calculator’s starting values while r₁ varies. Select any row to load that scenario into the calculator.

How the answer changes with r₁
R₁ (Ω)Series totalParallel totalResistors used
50270.000 Ω40.741 Ω2
75295.000 Ω55.932 Ω2
100320.000 Ω68.750 Ω2
150370.000 Ω89.189 Ω2
200420.000 Ω104.762 Ω2
300520.000 Ω126.923 Ω2