Capacitors in Series Calculator

Quick answer

The capacitors in series calculator finds the total capacitance of up to ten capacitors connected in series, and the charge and voltage on each for a given applied voltage.

Total capacitance
5.99768
Charge on each capacitor
71.97216
Voltage across C1
7.1972 V
Voltage across C2
3.2715 V
Voltage across C3
1.5313 V

Capacitors in series behave like resistors in parallel: the total is smaller than the smallest one. Series connection raises the voltage rating – useful for high-voltage banks and supercapacitor packs.

How to use the Capacitors in Series Calculator

  1. Capacitor 1
  2. Capacitor 2
  3. Capacitor 3
  4. Capacitor 4
  5. Capacitor 5
  6. Capacitor 6
  7. Capacitor 7
  8. Capacitor 8
  9. Capacitor 9
  10. Capacitor 10
  11. Applied voltage (optional)

Results update as you type, every field has its own unit menu, and everything is calculated in your browser.

How it works

Enter the capacitances (leave unused fields at 0) and optionally the applied voltage.

Inputs explained

Field What to enter
Capacitor 1 Units: µF, nF, pF, mF, F
Capacitor 2 Units: µF, nF, pF, mF, F
Capacitor 3 Units: µF, nF, pF, mF, F
Capacitor 4 Units: µF, nF, pF, mF, F
Capacitor 5 Units: µF, nF, pF, mF, F
Capacitor 6 Units: µF, nF, pF, mF, F
Capacitor 7 Units: µF, nF, pF, mF, F
Capacitor 8 Units: µF, nF, pF, mF, F
Capacitor 9 Units: µF, nF, pF, mF, F
Capacitor 10 Units: µF, nF, pF, mF, F
Applied voltage (optional) Units: V, mV, kV, µV, MV

Example values

How the main result changes when Capacitor 1 changes and everything else stays at the example values above:

Capacitor 1 (µF) Total capacitance (µF)
5 3.7491
7.5 4.9984
10 5.9977
12.5 6.8152
15 7.4964
20 8.5667

Formula

1/C_total = Σ 1/C_i, Q = C_total·V, V_i = Q/C_i

Worked example

Inputs — Capacitor 1: 10 µF; Capacitor 2: 22 µF; Capacitor 3: 47 µF; Capacitor 4: 0 µF; Capacitor 5: 0 µF; Capacitor 6: 0 µF; Capacitor 7: 0 µF; Capacitor 8: 0 µF; Capacitor 9: 0 µF; Capacitor 10: 0 µF; Applied voltage (optional): 12 V.
Results — Total capacitance = 5.99768 µF; Charge on each capacitor = 71.97216 µC; Voltage across C1 = 7.1972 V; Voltage across C2 = 3.2715 V; Voltage across C3 = 1.5313 V.

Key terms

Series connection
Components connected end to end.

Frequently asked questions

Is series capacitance larger or smaller?

Smaller than the smallest capacitor.

Why connect capacitors in series?

To increase the voltage rating.

Do all capacitors have the same charge?

Yes – in series, Q is the same for all.

Why add balancing resistors?

Leakage differences can unbalance the voltages.

Sources

  1. OpenStax – University Physics Volume 2
  2. HyperPhysics (Georgia State University)

Cite this calculator

Speedy Calculator. (2026). Capacitors in Series Calculator. Speedy Calculator. https://speedycalculator.com/calculators/physics/capacitors-in-series/