(1k | 2.2k) + 470: this page
- Input
- mix (1k | 2.2k) + 470
- Expected output
- 1157.5
687.5 Ω in parallel, plus 470 Ω in series.
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mixed series parallel resistor calculator
Almost every real circuit mixes both arrangements: a parallel group in series with another resistor, or the other way around. Setting up the math by hand takes care with the order. Here you just write the circuit on a line, with + for series, | for parallel and parentheses to group. The tool opens with (1k | 2.2k) + 470 and returns the equivalent resistance.
687.5 Ω in parallel, plus 470 Ω in series.
1,000 in parallel with 5,000 Ω.
Two equal 200 Ω branches: half.
100 + (200 | 200) = 100 + 100.
1 kΩ from the parallel plus 1 kΩ.
4,700 ÷ 3.
Add the inverses and invert the result: R = 1 ÷ (1 ÷ R1 + 1 ÷ R2 + ...). For two, R = R1 × R2 ÷ (R1 + R2). Example: 220 Ω and 330 Ω give 132 Ω. The result is always smaller than the smallest resistor.
Reduce from the inside out: replace each series or parallel group with an equivalent resistor until one remains. In the tool, write the circuit with + and |, as in (1k | 2.2k) + 470.
Use + for series and | (or ||) for parallel, with parentheses to group. Parallel is read before the sum. Values accept 4k7, 2.2k, 100 and 1M.
Swapping the order within a series or a parallel changes nothing. Changing the structure, who is inside which parentheses, changes the circuit and the result.
No. Bridge networks, such as a Wheatstone bridge, do not reduce to series and parallels and call for nodal or mesh analysis. The tool covers arrangements that solve by reduction.
The math runs in your browser; no value is sent to a server. Combinations use nominal values: resistor tolerance adds on top of the error shown.