Free · Physics models
Series Capacitance for up to Ten Components
Calculate equivalent series capacitance and supported inverse component values for up to ten ideal capacitors.
- Formula & worked example
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Calculator inputs
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How to use this calculator
- Enter the known values in the units shown. Results update as you type.
- Where results are editable, change one to solve backwards. Lock a value to hold it fixed.
- Use the worked example to check the method. Reset restores the starting fields.
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Formula and method
capacitance2 = 5.0000e-7. This worked example uses the displayed units and declared assumptions.
1/capacitance1 = 1/capacitor_1; 1/capacitance2 = 1/capacitor_1+1/capacitor_2; 1/capacitance3 = 1/capacitor_1+1/capacitor_2+1/capacitor_3; 1/capacitance4 = 1/capacitor_1+1/capacitor_2+1/capacitor_3+1/capacitor_4; 1/capacitance5 = 1/capacitor_1+1/capacitor_2+1/capacitor_3+1/capacitor_4+1/capacitor_5; 1/capacitance6 = 1/capacitor_1+1/capacitor_2+1/capacitor_3+1/capacitor_4+1/capacitor_5+1/capacitor_6; 1/capacitance7 = 1/capacitor_1+1/capacitor_2+1/capacitor_3+1/capacitor_4+1/capacitor_5+1/capacitor_6+1/capacitor_7; 1/capacitance8 = 1/capacitor_1+1/capacitor_2+1/capacitor_3+1/capacitor_4+1/capacitor_5+1/capacitor_6+1/capacitor_7+1/capacitor_8; 1/capacitance9 = 1/capacitor_1+1/capacitor_2+1/capacitor_3+1/capacitor_4+1/capacitor_5+1/capacitor_6+1/capacitor_7+1/capacitor_8+1/capacitor_9; 1/capacitance10 = 1/capacitor_1+1/capacitor_2+1/capacitor_3+1/capacitor_4+1/capacitor_5+1/capacitor_6+1/capacitor_7+1/capacitor_8+1/capacitor_9+1/capacitor_10
Worked example
Enter these known values and leave the other values blank.
- Number of capacitors
- 2
- Capacitor 1 (C==1==)
- 0.000001 F
- Capacitor 2 (C==2==)
- 0.000001 F
- Capacitance of 2 capacitors in series
- 5e-7 F
Assumptions and limitations
- Capacitances are positive and ideal; ESR, leakage and breakdown voltage are omitted. Equivalent capacitance is the reciprocal of the sum of reciprocals. An inverse component must remain positive.
- Clear an unknown to solve a supported inverse; keep known values fixed with locks. Singular or underdetermined inverses may remain incomplete.
Common questions
What assumptions apply?
Capacitances are positive and ideal; ESR, leakage and breakdown voltage are omitted. Equivalent capacitance is the reciprocal of the sum of reciprocals. An inverse component must remain positive.
Which unknowns can I solve?
Editable controls preserve the supported captured inverse branches. Clear the desired unknown and provide enough independent known quantities; singular or underdetermined inverses may remain incomplete.
References
Each series capacitance must be positive. Each series capacitance must be positive. Each series capacitance must be positive. Each series capacitance must be positive. Each series capacitance must be positive. Each series capacitance must be positive. Each series capacitance must be positive. Each series capacitance must be positive. Each series capacitance must be positive. Each series capacitance must be positive.