FCC Exam Question: 3-4A5

How would you calculate the total capacitance of three capacitors in parallel?

A. C
B. C
C. C
D. C
Correct Answer: B

Explanation: When three capacitors are connected in parallel, their individual capacitances add together to determine the total capacitance. The formula for total capacitance ($C_{total}$) in a parallel circuit is: $C_{total} = C_1 + C_2 + C_3$ This occurs because, in a parallel configuration, all the positive plates are connected to one common point, and all the negative plates are connected to another common point. This effectively increases the total effective plate area across which charge can be stored, while maintaining the same dielectric thickness and material. Since capacitance is directly proportional to the plate area, increasing the area by combining capacitors in parallel results in a larger overall capacitance, increasing the circuit's ability to store electric charge. This is the opposite behavior of resistors in parallel, and identical to resistors in series.

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Includes Elements 1, 3, 6, 7R, 8, and 9.