Calculate Total Capacitance for Series and Parallel Networks
Connection Type
Number of Capacitors
C1 (F)
C2 (F)
Result
Step-by-Step Calculation
Capacitance Formulas
Series: 1/Ct = 1/C1 + 1/C2 + ... + 1/Cn
Parallel: Ct = C1 + C2 + ... + Cn
2 equal series: Ct = C / 2
2 equal parallel: Ct = 2C
Capacitance behavior is opposite to resistance: series decreases total capacitance (like parallel resistors), parallel increases (like series resistors). This is because capacitor current depends on dV/dt, unlike resistor current which depends on V.
⚠In series, voltage divides inversely to capacitance. Smaller capacitors get higher voltage stress. Use equal-value capacitors or balancing resistors for series connections.
Series vs Parallel Capacitance
Capacitors in parallel combine like resistors in series (additive). Capacitors in series combine like resistors in parallel (reciprocal sum). Understanding this opposite behavior is critical for power supply filter design, timing circuits, and energy storage applications.
Series Capacitance
1/Ct = 1/C1 + 1/C2. Ct is always less than smallest C. Voltage divides. Example: 10μF+10μF = 5μF.
Parallel Capacitance
Ct = C1 + C2. Ct is always greater than largest C. Same voltage across all. Example: 10μF+10μF = 20μF.
Voltage Rating
Series: voltage divides (total = sum of ratings, but unequal division with unequal C). Parallel: all see same voltage (limited by lowest rated).
Practical Use
Parallel: increase capacitance (power supply filters). Series: increase voltage rating, decrease total C (high-voltage power supplies).
Teaching Example: C1=10μF, C2=22μF in series vs parallel.
Series: 1/Ct = 1/10+1/22 = 0.1+0.04545 = 0.14545 → Ct = 6.875μF (less than 10μF).
Parallel: Ct = 10+22 = 32μF (greater than 22μF). Opposite behavior!
Applications
Power SuppliesFilter DesignTiming CircuitsEnergy StorageAudio Crossover
Frequently Asked Questions
Series vs parallel capacitance?▼
Series: 1/Ct = sum of reciprocals (Ct decreases). Parallel: Ct = sum of values (Ct increases). Opposite of resistors.
How to increase total capacitance?▼
Connect capacitors in parallel. Ct = C1 + C2 + ... Parallel also keeps the same voltage rating across all capacitors.
How to increase voltage rating?▼
Connect capacitors in series. Voltage divides across them. Use equal-value capacitors for even voltage sharing. Add balancing resistors for electrolytics.
Why opposite to resistors?▼
Resistors: I = V/R (direct). Capacitors: I = C dV/dt (derivative). Series adds resistance but reduces capacitance because of the different physical relationships.
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