Two capacitors of 6.0 microfarads and 3.0 microfarads are connected in series across a DC power supply. What is the equivalent capacitance?
Answer and explanation
Correct answer: D. 2.0 microfarads
- Step 1: For series capacitors, reciprocal capacitance applies: 1/C_eq = 1/C1 + 1/C2.
- Step 2: Substitute values: 1/C_eq = 1/6.0 + 1/3.0 = 1/6.0 + 2/6.0 = 3/6.0 = 1/2.0.
- Step 3: Invert: C_eq = 2.0 microfarads.
Answer
2.0 microfarads.
Why not the others: '9.0 microfarads' calculates parallel capacitance C1 + C2; '4.5 microfarads' averages the two capacitances; '18.0 microfarads' multiplies the values together without dividing by the sum.
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