Series & Parallel Capacitor Calculator
This Series and Parallel Capacitor Calculator finds the equivalent capacitance of capacitor networks using pF, nF, µF, mF, or F inputs. Add each component, choose the connection type, and review the result in every standard capacitance unit.
Equivalent capacitance calculations are useful for tuning filter values, combining available components, increasing decoupling capacitance, and checking series capacitor arrangements in power, analog, and timing circuits.
The calculator models ideal capacitors connected entirely in series or entirely in parallel. Mixed networks can be simplified one group at a time with the same equations.
Series & Parallel Capacitor Calculator
Add capacitor values and switch between series and parallel networks. Inputs are converted to farads before the equivalent capacitance is calculated.
Equivalent capacitance
32 µF
Parallel Network - 2 capacitors
- Farads
- 0.000032F
- Millifarads
- 0.032mF
- Microfarads
- 32µF
- Nanofarads
- 32,000nF
- Picofarads
- 32,000,000pF
- Calculation type
- Parallel Network
Series and Parallel Capacitance Formulas
Capacitor series and parallel equations are the opposite of resistor network equations. All values must use the same unit before manual calculation.
Parallel: Ceq = C1 + C2 + C3 + ...Series: 1 / Ceq = 1 / C1 + 1 / C2 + 1 / C3 + ...- Ceq = Equivalent capacitance of the complete network in farads (F)
- C1, C2, C3 = Individual capacitor values converted to farads (F)
- Parallel capacitors share the same voltage and their stored charge adds
- Series capacitors carry equal ideal charge while the applied voltage divides
How to Use This Calculator
- Select Series when the capacitors form one path, or Parallel when every capacitor is connected across the same two circuit nodes.
- Enter each capacitance and select pF, nF, µF, mF, or F. Mixed units are converted to farads before calculation.
- Add or remove rows to match the network. Results update immediately after a value, unit, or mode changes.
- Check voltage rating, tolerance, dielectric behavior, ESR, and leakage before selecting parts for production hardware.
Worked Examples
Example 1: Parallel Capacitors
C1 = 10 µF and C2 = 22 µF.
Ceq = C1 + C2
Ceq = 10 µF + 22 µF
Ceq = 32 µF
Both capacitors share the same voltage, so their capacitances add directly.
Example 2: Series Capacitors
C1 = 10 µF and C2 = 22 µF.
Ceq = (C1 × C2) / (C1 + C2)
Ceq = (10 µF × 22 µF) / (10 µF + 22 µF)
Ceq = 6.875 µF
The series result is lower than the smallest individual capacitance.
Engineering Notes
Parallel networks increase capacitance
Adding a capacitor in parallel increases total charge storage at the same applied voltage, so Ceq rises by the added capacitance.
Series networks reduce capacitance
The reciprocal relationship makes Ceq lower than the smallest capacitor in a series string.
Series voltage rating needs analysis
Series parts may increase total voltage capability, but leakage and tolerance can create unequal voltage sharing. Use balancing components and derating where required.
Tolerance changes the actual result
Nominal calculations do not include component tolerance, temperature coefficient, DC bias, aging, or dielectric-dependent capacitance loss.
ESR and leakage affect real circuits
Equivalent series resistance, ripple-current rating, leakage, and parasitic inductance can dominate behavior in power, timing, and high-frequency applications.
Common Mistakes
- Using resistor network formulas for capacitor connections.
- Mixing pF, nF, and µF without converting to a common unit.
- Assuming series voltage divides equally without checking leakage.
- Ignoring effective capacitance loss from ceramic capacitor DC bias.
- Combining parts without checking ESR, ripple current, and tolerance.
FAQ
How do you calculate capacitors in parallel?
Add the individual capacitances directly: Ceq = C1 + C2 + C3 + ... . Capacitors in parallel share the same voltage, while their stored charge adds.
How do you calculate capacitors in series?
Add the reciprocal of each capacitance, then take the reciprocal of that sum: 1 / Ceq = 1 / C1 + 1 / C2 + ... . For two capacitors, Ceq = C1 × C2 / (C1 + C2).
Why do capacitors in parallel add together?
Each capacitor is connected across the same voltage and contributes additional plate area and stored charge. The network therefore behaves like a larger capacitance.
Why is series capacitance smaller than the smallest capacitor?
A series connection effectively increases the dielectric separation of the combined network. Its reciprocal sum makes the equivalent capacitance lower than every individual value.
What happens to voltage rating when capacitors are connected in series?
Series connection can increase the theoretical total voltage capability, but voltage may not divide equally because of tolerance and leakage current. High-voltage designs often require balancing resistors and appropriate derating.
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Browse the Capacitors calculator category or review component selection information in the Engineering Reference Center.
This calculator provides ideal theoretical results for engineering reference. Verify capacitor tolerance, voltage rating, dielectric, ESR, leakage current, ripple-current limits, temperature behavior, and measured circuit performance before using the result in production.