Daily Figures Edition No Sign-Up Free Forever Vol. XII — No. 204
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Parallel Resistor Calculator

Find the total resistance of resistors in parallel.

Total resistance
In parallel.
Details
Resistors used
 
 
 
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How the Parallel Resistor Calculator Works

Resistors in parallel share the current, so the total resistance is always less than the smallest one. Add the reciprocals (1 divided by each resistance) and take the reciprocal of the sum. Two 100-ohm resistors in parallel give 50 ohms; add more paths and the total keeps dropping.

A handy shortcut for two resistors is the product over the sum: R1×R2 ÷ (R1+R2). For equal resistors, the total is just one resistor divided by how many there are.

1 ÷ Rtotal = 1/R₁ + 1/R₂ + …

Frequently Asked Questions

How do you calculate parallel resistance?

Add the reciprocals of each resistance and take the reciprocal of the total. The result is always less than the smallest resistor.

Why is parallel resistance lower?

Each parallel path gives current another way to flow, so overall the circuit resists less than any single path.

Is there a shortcut for two resistors?

Yes — multiply the two values and divide by their sum: R1×R2 ÷ (R1+R2).

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