Capacitors connected in series affect the total capacitance by?

• A. Increasing
• B. Decreasing
• C. Multiplying
• D. Adding

Answer: (B)

When capacitors are connected in series, the total capacitance of the combination behaves differently than when they are connected in parallel. The formula for total capacitance in a series configuration is given by:

1/C_total = 1/C1 + 1/C2 + 1/C3 + ...

This means that the reciprocal of the total capacitance is equal to the sum of the reciprocals of the individual capacitances. As a result, when adding these inverses, the total capacitance is effectively reduced compared to the capacitance of each individual capacitor.

In practical terms, connecting capacitors in series leads to a decrease in the total capacitance, resulting in a smaller capacitance value. This behavior is crucial for circuit design, especially in applications where a specific capacitance is needed. The principle behind this reduction is tied to the way charge is stored and distributed across the capacitors, with the series arrangement restricting the overall capacity to hold electric charge compared to standalone capacitors. Thus, the correct understanding of the series connection is that it decreases the total capacitance.