BeginnerTopic 18 of 106Electrical Engineering

Series and parallel capacitors and inductors

Capacitors add in parallel while inductors add in series.

In depth

Capacitors in parallel add (C=ΣCᵢ), in series 1/C=Σ1/Cᵢ. Inductors in series add, in parallel reciprocal. This is the opposite of resistor-like intuition for capacitors. Voltage rating limits series strings.

Key points

  • Capacitor: parallel adds
  • Inductor: series adds
  • Balance resistors for series electrolytics
Example

Two 10 µF capacitors in series give 5 µF.

Why it matters

Combining capacitors and inductors follows rules that differ from resistors, so it is important to check the values before building a filter.

Where this is used

  • Choosing values for a parallel capacitor bank in a filter.
  • Combining inductors in a series chain for a required total.
  • Estimating the total capacitance in a timing network.

Frequently asked questions

What is Series and parallel capacitors and inductors?

Capacitors add in parallel while inductors add in series.

Why is it important to understand series and parallel capacitors and inductors?

Combining capacitors and inductors follows rules that differ from resistors, so it is important to check the values before building a filter.

Why do capacitors add in parallel?

Parallel capacitors share the same voltage and their charges add, so their capacitances add directly.

Why do inductors add in series?

Series inductors carry the same current and their voltages add, so their inductances add directly, ignoring mutual coupling.

How is Series and parallel capacitors and inductors used in practice?

Typical applications include choosing values for a parallel capacitor bank in a filter, combining inductors in a series chain for a required total and estimating the total capacitance in a timing network.

What should I learn before Series and parallel capacitors and inductors?

Study "Inductors" first (topic 17 of 106 in Electrical Engineering). It covers the groundwork this topic builds on.

What are the key points of Series and parallel capacitors and inductors?

Capacitor: parallel adds. Inductor: series adds. Balance resistors for series electrolytics.

Can you give an example of Series and parallel capacitors and inductors?

Two 10 µF capacitors in series give 5 µF.

What comes after Series and parallel capacitors and inductors?

The next topic is "Electric fields and Coulomb's law", which builds directly on this one.

How difficult is Series and parallel capacitors and inductors?

It is classed as Beginner in Electrical Engineering (topic 18 of 106). It is an entry-level topic. It relies only on basic school mathematics and the ideas introduced earlier in this discipline.

Learning path

Want to practise? Open the interactive course for quick checks, quizzes, simulations and progress tracking.

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