Capacitors In Series Formula:
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When capacitors are connected in series, the total capacitance decreases. The reciprocal of the equivalent capacitance equals the sum of the reciprocals of individual capacitances.
The calculator uses the series capacitance formula:
Where:
Explanation: In series connection, the same charge accumulates on each capacitor, but the voltage divides across them.
Details: Calculating equivalent capacitance in series is essential for circuit design, filter networks, energy storage systems, and impedance matching applications.
Tips: Enter capacitance values separated by commas (e.g., 10, 20, 30). All values must be positive numbers in Farads. Minimum two capacitors required.
Q1: Why does capacitance decrease in series?
A: In series, the effective plate separation increases, reducing the overall capacitance according to \( C = \frac{\varepsilon A}{d} \).
Q2: What happens to voltage in series capacitors?
A: Voltage divides inversely proportional to capacitance values. Smaller capacitors get higher voltage.
Q3: Can I mix different capacitance values in series?
A: Yes, but the equivalent capacitance will be less than the smallest individual capacitor.
Q4: What are practical applications of series capacitors?
A: Voltage division, AC coupling, tuning circuits, and creating specific capacitance values not available commercially.
Q5: How does energy storage compare in series vs parallel?
A: Series connection stores less total energy than parallel for the same individual capacitors due to lower equivalent capacitance.