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 capacitors formula:
Where:
Explanation: In series connection, the same charge flows through all capacitors, but the voltage divides across them. The equivalent capacitance is always less than the smallest individual capacitance.
Details: Calculating series capacitance is essential for circuit design, filter networks, power supply circuits, and impedance matching applications where specific capacitance values are required.
Tips: Enter capacitance values in farads (F). For microfarads (μF), divide by 1,000,000. For nanofarads (nF), divide by 1,000,000,000. Both values must be positive and non-zero.
Q1: Why does capacitance decrease in series?
A: In series, the effective plate separation increases, reducing the overall capacitance since capacitance is inversely proportional to plate separation.
Q2: What happens to voltage in series capacitors?
A: Voltage divides inversely proportional to capacitance values. Smaller capacitors experience higher voltage drops.
Q3: Can I connect more than two capacitors in series?
A: Yes, the formula extends to multiple capacitors: \( \frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + \cdots \)
Q4: What are practical applications of series capacitors?
A: Voltage division, AC coupling, tuning circuits, and creating specific capacitance values not available commercially.
Q5: Are there any limitations with series capacitors?
A: Voltage rating must be considered - the total voltage should not exceed the sum of individual capacitor voltage ratings.