Basics calculator

Series & parallel

Series & parallel: the circuit drawn with the example's values1kΩ2.2kΩ4.7kΩAB
1 kΩ, 2.2 kΩ, 4.7 kΩ in parallel: 600 Ω

In series the paths add up; in parallel the openings add up, and the total shrinks.

Opens in the app on 1 December, with Circuit Notebook 1.0 See it worked out

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The example, worked out

Given

Parts
Resistors
Arrangement
In parallel
Values
1k, 2k2, 4k7

Working

  1. the inverses add up

Results

Total, parallel600 Ω

The formulas

  1. R = R1 + R2 + …resistors and inductors add in series
  2. 1/R = 1/R1 + 1/R2 + …in parallel the inverses add; capacitors do it the other way round

The usual traps

  • Capacitors add in parallel, not in series.
  • The parallel total is always below the smallest part.

Questions

How do resistors and capacitors add in series and in parallel?

R = R1 + R2 + …: resistors and inductors add in series. 1/R = 1/R1 + 1/R2 + …: in parallel the inverses add; capacitors do it the other way round.

What does it give for typical values?

1 kΩ, 2.2 kΩ, 4.7 kΩ in parallel: 600 Ω. Total, parallel: 600 Ω.

What are the usual mistakes?

Capacitors add in parallel, not in series. The parallel total is always below the smallest part.

In the app

Your circuit, drawn live

Change a value: the schematic redraws with your numbers on the parts.

The part you can buy

Results rounded to standard values (E12, E24, E96) and power ratings.

The working, shown

Every step written out. Try it first by hand, then check.

Into your notebook

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Opens in the app on 1 December, with Circuit Notebook 1.0

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