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Resistance Parallel Calculator

Use this calculator when resistor branches share the same voltage and you want the lower combined equivalent resistance.

Inputs

Enter your values

Enter the first branch resistance connected across the same two nodes.

Add a second branch value if the network has more than one parallel path.

Use extra fields only for branches that are actually present in the network.

Leave unused fields blank instead of entering zero.

Formulae

1 / R_total = 1 / R1 + 1 / R2 + 1 / R3 + ...

When to use this calculator

Use this page when resistors are connected across the same two nodes and you need the equivalent resistance of the parallel network.

How to read the result

The main result is the total equivalent resistance, which will always be lower than the smallest resistor entered in a simple parallel network.

Worked example

Two 100 ohm resistors in parallel give 50 ohms. Adding more parallel branches reduces the equivalent resistance further.

Assumptions and limits

This page assumes ideal parallel resistor combinations. It does not include branch wiring resistance, tolerance spread, or reactive effects.

Common questions

Why is the result smaller than the smallest resistor?

Parallel branches create more than one current path, so the combined opposition falls below the smallest single branch value.

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