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Parallel resistor calculator

Choose the number of known resistors and enter each value. Missing-component mode adds one component to the listed group.

Calculator

Equivalent value
5

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How this calculator works

Parallel resistors share voltage. The branch conductances add, giving an equivalent resistance lower than every branch. The missing-component mode subtracts the known conductance from the target conductance before taking its reciprocal.

Formula

1/Xeq = sum(1/Xi); Xmissing = 1/[1/Xtarget - sum(1/Xknown)].

Worked example

A 10 ohm resistor in parallel with 20 ohms gives 6.666667 ohms. Adding 10 ohms in parallel with another 10 ohms gives 5 ohms.

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Frequently asked questions

What does the component count mean?

It counts known components. Missing-component mode adds one more, so a single known component is allowed.

Why is a requested total rejected?

A passive positive component must change the total in the direction allowed by the connection. Equality would require a zero or infinite ideal component.

Are real component tolerances included?

No. Enter measured values or calculate tolerance extremes separately. Ratings and parasitic effects require a separate check.

Sources

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