Series and Parallel Capacitor Calculator

Cp = Σ Ci. 10 µF + 22 µF + 4.7 µF in parallel is 36.7 µF.

Calculator

PASS36.7 µF3 capacitors

Cp = Σ Ci. 1/Cs = Σ 1/Ci. Series strings do not share DC voltage by 1/C — leakage and dielectric absorption set the DC split. 0 F is rejected.

Cp
36.7 µF
  • Pass Parallel Cp: 3 capacitors → 0.0000367000 F

Formula

Parallel

Cp=ΣCi Cp = Σ Ci

Series

1Cs=Σ1Ci 1/Cs = Σ 1/Ci

Voltage sharing

Vi≠V1/CiΣ1/Cj Series strings do not share DC voltage by 1/C

Variables

Symbol Meaning Unit Typical range Precision Default
mode Network — — 1 sig parallel
Ci Capacitor list F ≥ 0 pF 4 sig 10u, 22u, 4.7u
Cp Parallel equivalent F — 4 sig —
Cs Series equivalent F — 4 sig —
N Count — — 4 sig —
Ceq_uF Equivalent in µF µF — 4 sig —
Ceq_nF Equivalent in nF nF — 4 sig —
Ceq_pF Equivalent in pF pF — 4 sig —

Worked example

Parallel 10 + 22 + 4.7 µF

Input Value
mode · Network parallel
Ci · Capacitor list 0.00001, 0.000022, 0.0000047
Output Value
Cp · Parallel equivalent 36.7 µF
N · Count 3
Ceq_uF · Equivalent in µF 36.7 µF

Series 10 µF + 22 µF

Input Value
mode · Network series
Ci · Capacitor list 0.00001, 0.000022
Output Value
Cs · Series equivalent 6.875 µF
Ceq_uF · Equivalent in µF 6.875 µF

How it works

Add the values in parallel; invert, add and invert again in series. The series warning is not optional: two 100 V electrolytics in series are not a 200 V capacitor unless you add a bleed network.

Pitfalls

  • Assuming series capacitors share DC as 1/C. Leakage sets the DC split; this page always warns.
  • Typing 10 in the farad field when you mean 10 µF.
  • Paralleling electrolytics without a shared ripple-current budget.

FAQ

What is 10 µF + 22 µF + 4.7 µF in parallel?

36.7 µF.

What is 10 µF in series with 22 µF?

6.875 µF. The smaller capacitor dominates.

Why is 0 F an error?

A 0 F capacitor is a short at DC in this model and makes 1/C invalid in series.

Do series capacitors share voltage equally?

Not at DC. Leakage and dielectric absorption set the split, not 1/C.

Related

Sources