Series Capacitors Calculator

Overview

Calculates the equivalent capacitance of any number of capacitors connected in series.

Formula

C_eq = 1 / (1/C₁ + 1/C₂ + ... + 1/Cₙ)

Series capacitance follows the same reciprocal-sum structure as parallel resistances and parallel inductances. The equivalent capacitance is always less than the smallest individual capacitor.

Input Parameters

Parameter	Default	Description
C₁…Cₙ	1pF	Capacitance values

Capacitance Parsing

Values are entered as strings using standard shorthand notation, where the prefix letter replaces the decimal point. A trailing F is optional and ignored.

Input	Parsed Value
`100`	100 F
`1pF`	1 pF
`4n7`	4.7 nF
`0p5F`	0.5 pF
`22uF`	22 μF
`10n`	10 nF

Supported prefixes: p (10⁻¹²), n (10⁻⁹), u (10⁻⁶), m (10⁻³). Output formatting also covers fF (10⁻¹⁵).

Output

C_{eq}: Equivalent capacitance of the series network

Example

Input:

C₁ = 1pF, C₂ = 2p2, C₃ = 4n7

Calculation:

C_eq = 1 / (1/1e-12 + 1/2.2e-12 + 1/4.7e-9)
     = 1 / (1e12 + 4.545e11 + 2.128e8)
     ≈ 1 / (1.4549e12)
     ≈ 0.6873 pF

Output:

Parameter	Value
C_{eq}	0.6873 pF

In this case C₁ and C₂ dominate because they are orders of magnitude smaller than C₃ — the series result is pulled toward the smallest capacitor.