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Series & Parallel Resistor Calculator — Equivalent Resistance

Calculate equivalent resistance for up to four resistors in series or parallel, with reciprocal working shown and an optional source voltage for total current.

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Calculated result

66.66666667 Ω

Active resistors: 2

Connection: parallel

Show the working
  1. 1. 1/Req = 1/100 + 1/200 = 0.015.
  2. 2. Req = 1 ÷ 0.015 = 66.66666667 Ω.

Ideal resistor model. Confirm tolerance, temperature, source limits and component power ratings for real circuits.

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The calculation, without hidden assumptions

Series and parallel resistor networks use different rules. Series values add directly; parallel branches add as reciprocals. This calculator keeps both in one canonical page and optionally applies Ohm’s law to the equivalent resistance when you enter a source voltage.

How to use this calculator

1

Choose series or parallel.

2

Enter two to four resistor values in ohms; leave unused optional values at zero.

3

Optionally enter source voltage to see the ideal total network current from the equivalent resistance.

Where people use it

  • Electronics bench calculations
  • Checking resistor combinations
  • Teaching series/parallel circuit relationships

Example: 100 Ω and 200 Ω in parallel

1/Req = 1/100 + 1/200 = 0.015, so Req is about 66.67 Ω.

What the result does not assume

  • The model assumes ideal resistors. Tolerance, temperature, source limits and component power ratings are separate design checks.
  • A zero-ohm branch is not accepted as an ordinary parallel input because it represents an ideal short circuit.

Frequently asked questions

Do resistors add in series?+

Yes. Ideal series resistance is the sum of all resistor values.

Why is parallel resistance lower than the smallest resistor?+

Adding parallel branches provides more current paths, so equivalent resistance falls below each positive branch resistance.

Can this calculate resistor power?+

This page focuses on equivalent resistance and optional total current; component power distribution requires the actual network voltages/currents.

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