Everyday Tools

Resistor Calculator

Combine a list of resistor values into an equivalent series or parallel resistance. This helps you check the arithmetic for one group of resistors before using that equivalent value in a larger circuit.

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Your inputs

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Your result

Ready when you are.

Adjust the inputs, then calculate to see your result here.

Calculated on your device. Inputs are not saved by this calculator.

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Using the Resistor Calculator

Enter every resistance in ohms. In series, resistances add; in parallel, their reciprocals add and the reciprocal of that sum gives the equivalent. All entries must be positive, and the selected connection applies to the entire list.

Worked example

Use the example inputs below to reproduce this result. These are the form's starting values, not recommended targets. Changing your inputs updates your result above; this worked example stays fixed for comparison. Results are rounded for display.

Example inputs

Resistances (Ω)
100, 200, 300
Connection
Series

Example result

Equivalent resistance (Ω)
600

Method and assumptions

Series resistances add; parallel reciprocals add.

Distinguish a model from a circuit specification

Electrical calculations describe the assumptions entered in the form. Real components, cables and supplies also have ratings, tolerances and operating conditions. Confirm whether the model is for DC resistance, energy over time or another specific quantity. A mathematically consistent result is not by itself a complete design or installation check.

Common question

Why is parallel resistance smaller than an individual branch resistance?

Parallel branches provide additional paths for current. With positive resistor values, their conductances add, so the equivalent resistance is below the smallest branch value when there is more than one branch. Series connections instead add resistance.