Electronics

Series/Parallel Resistors

Paste any number of resistor values to see the equivalent resistance if they were wired in series or in parallel.

resistorsseriesparallel
Series & Parallel Resistors

Paste resistor values and see the equivalent resistance for series and parallel networks.

Equivalent (series)
79 Ω
Equivalent (parallel)
5.998 Ω
Resistors processed
3

Equivalent resistance

Series: R_eq = ΣRᵢ
Parallel: 1/R_eq = Σ(1/Rᵢ)

Series resistances simply add together. Parallel resistances add as reciprocals—the more branches you add, the lower the net resistance becomes.

How to use

  1. Type resistor values separated by commas, spaces, or new lines.
  2. Keep everything in ohms (use kilo/mega-ohms converted to ohms if needed).
  3. Read the total for both wiring styles and confirm the number of branches processed.

Example

Input: 10, 22, 47, 100

Output: Series ≈ 179 Ω, Parallel ≈ 5.3 Ω

Student-friendly breakdown

This walkthrough emphasizes the most searched ideas for Series/Parallel Resistors: Series/Parallel Resistors. Start with the formula above, then follow the guided steps to double-check your work. For quick revision, highlight the givens, plug into the equation, and finish by verifying your units.

Need more support? Use the links below to open the long-form guide, browse additional examples, or hop into adjacent calculators within the same topic. Each resource is interlinked so crawlers (and readers) can discover the next best action within a couple of clicks—one of the easiest ways to lift topical authority.

Deep dive & study plan

The Series/Parallel Resistors is a go-to tool whenever you need to equivalent resistance calculator plus branch count at a glance.. It focuses on resistors, series, parallel, which means searchers often arrive with intent-heavy queries like “how to series/parallel resistors quickly” or “series/parallel resistors formula explained.” Use this calculator to capture those intents and keep learners on the page long enough to send positive engagement signals.

Under the hood, the calculator leans on series resistances simply add together. parallel resistances add as reciprocals—the more branches you add, the lower the net resistance becomes.—that’s why we surface the full expression (“Series: R_eq = ΣRᵢ Parallel: 1/R_eq = Σ(1/Rᵢ)”) directly above the interactive widget. When you embed that formula inside H2s or supporting paragraphs, you help both humans and crawlers understand what entity the page represents.

Execution matters as much as the math. Follow the built-in procedure: Step 1: Type resistor values separated by commas, spaces, or new lines. Step 2: Keep everything in ohms (use kilo/mega-ohms converted to ohms if needed). Step 3: Read the total for both wiring styles and confirm the number of branches processed.. Each numbered instruction is short enough to scan on mobile but descriptive enough to satisfy Google’s Helpful Content guidelines. Encourage students to jot down units, double-check signs, and compare answers with the Example card to build confidence.

The Example section itself is packed with semantic clues: “10, 22, 47, 100” leading to “Series ≈ 179 Ω, Parallel ≈ 5.3 Ω.” Pepper similar narratives throughout your copy (and internal links from related guides) so canonical search intents are answered without pogo-sticking back to Google.

Quick retention checklist

  • Speak the formula aloud (or annotate it) so the relationships stick.
  • Write each step in your own words and compare with the numbered list above.
  • Swap in new numbers for the Example to make sure the calculator (and your logic) handles edge cases.
  • Link out to at least two related calculators to keep readers exploring your topical hub.

FAQ & notes

Can I mix kilo-ohms and ohms?

Convert everything to ohms before entering the list. Example: 4.7 kΩ becomes 4700.

What happens with a zero-ohm jumper?

Parallel resistance collapses to zero if any branch is 0 Ω. The calculator reports the result as undefined in that case.

What formula does the Series/Parallel Resistors use?

Series resistances simply add together. Parallel resistances add as reciprocals—the more branches you add, the lower the net resistance becomes.

How do I use the Series/Parallel Resistors?

Type resistor values separated by commas, spaces, or new lines. Keep everything in ohms (use kilo/mega-ohms converted to ohms if needed). Read the total for both wiring styles and confirm the number of branches processed.