Skip to main content

Series & Parallel Resistor Calculator

Quick answer

This calculator computes equivalent resistance for any resistor network: series sum R = R1+R2, parallel product-over-sum, plus total current and power per resistor.

Figures are estimates from this calculator’s standard formula — adjust the inputs in the tool below for your exact number.

How the Series & Parallel Calculator Works

Series: R = R1+R2+... | Parallel: 1/R = 1/R1+1/R2+...

Calculates total resistance for resistors in series (add values) or parallel (add reciprocals). Also shows current and power distribution across each resistor. Worked example: 1 kohm and 2 kohm in parallel give R = (1000x2000)/(1000+2000) = 666.7 ohm; the same pair in series gives 3 kohm. At 9 V the parallel pair draws 13.5 mA. For three or more parallel resistors keep adding conductances: 1k, 2k, and 4k in parallel settle at 571.4 ohm because 1/Rt = 0.001 + 0.0005 + 0.00025 - always below the smallest branch.

  1. 1

    Step 1

    Select connection type (series or parallel)

  2. 2

    Step 2

    Enter the supply voltage

  3. 3

    Step 3

    Add resistor values one by one

  4. 4

    Step 4

    View total resistance and individual results

Use Cases

Designing voltage dividers and current sharing

Creating custom resistance values

Analyzing existing circuit networks

Teaching basic circuit theory

Tips

  • 1

    Series: same current, voltage divides proportionally

  • 2

    Parallel: same voltage, current divides inversely

  • 3

    Total parallel resistance is always less than smallest resistor

  • 4

    Use 1% resistors for precision voltage dividers

Common Mistakes

  • Using series formula for parallel circuits

  • Forgetting that parallel resistance is less than any single resistor

  • Not checking individual resistor power ratings

  • Mixing series and parallel formulas in complex networks

FAQs

Why use series resistors?

Series resistors increase total resistance and divide voltage proportionally. Useful for voltage dividers, current limiting, and creating specific resistance values.

Why use parallel resistors?

Parallel resistors decrease total resistance, increase current capacity, and provide redundancy. If one fails, the circuit may still work.

How do I analyze a circuit with both series and parallel?

Simplify step by step: first combine parallel groups into single equivalents, then add series resistances. Repeat until you have one equivalent resistance.

How do I calculate two resistors in parallel?

Use R = R1xR2/(R1+R2). For 1 kohm and 2 kohm: 2000000/3000 = 666.7 ohm. For identical resistors, the parallel of n parts is simply R/n.

Why is parallel resistance always lower than the smallest resistor?

Adding a parallel path adds conductance: 1/Rt = 1/R1 + 1/R2. Since conductances add, total resistance must drop below every individual branch resistance.

Do resistors in parallel share power equally?

Only if their values are equal. The smallest resistor draws the largest current and dissipates the most power: P = V2/R with the same voltage across each branch.