Question
What is the capacitance of three 100-microfarad capacitors connected in series?
Answer Options
- A) 0.33 microfarads
- B) 3.0 microfarads
- C) 33.3 microfarads
- D) 300 microfarads
Correct Answer: C
Explanation
For capacitors connected in series, the reciprocal of the total capacitance (1/C_T) is the sum of the reciprocals of the individual capacitances: 1/C_T = 1/C_1 + 1/C_2 + 1/C_3.
Since all three capacitors are equal (C_1 = C_2 = C_3 = 100 \text{ }\mu\text{F}), the formula simplifies to 1/C_T = 3/100 \text{ }\mu\text{F}. Therefore, C_T = 100 \text{ }\mu\text{F} / 3 \approx 33.33 \text{ }\mu\text{F}. The total capacitance is 33.3 \text{ microfarads}.
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