Resistors in Series and Parallel Calculator

Type your resistor values, one per line or separated by commas, and choose series or parallel. You get the total resistance for both connections.

Series total

5.02 kΩ

Parallel total
67.76 Ω
Resistors
3

Series: R = R1 + R2 + …

Show working
  1. R = 100 Ω + 220 Ω + 4.7 kΩ = 5.02 kΩ

How to use

  1. Type resistor values, one per line (k = kilo, M = mega, 4k7 = 4.7 kΩ).
  2. Choose series or parallel.
  3. Read the total and the working.

Good to know

Series: R = R1 + R2 + R3 … (the same current flows through each). Parallel: 1/R = 1/R1 + 1/R2 + 1/R3 … (the same voltage across each), so the total is always smaller than the smallest resistor.

Two equal resistors in parallel give half the value; two in series give double. Shortcut for two in parallel: R = R1 × R2 ÷ (R1 + R2).

Values: 220, 4.7k or 4k7 (4,700 Ω), 1M (1,000,000 Ω); a small m means milli (0.001). Real resistors have tolerance (often ±5%), so the measured total varies by the same order.

Questions

What is 100 Ω and 220 Ω in parallel?

100 × 220 ÷ 320 = 68.75 Ω.

How do I make 50 Ω from 100 Ω resistors?

Put two 100 Ω resistors in parallel.

Is parallel resistance always lower?

Yes, it is always below the smallest resistor in the group.

How do I type 4.7 kΩ?

4.7k or 4k7. Mega-ohms use capital M, e.g. 1M.

Can I mix series and parallel?

Work it in steps: find each parallel group, then add groups in series.

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