Difficulty: Easy
Correct Answer: Correct
Explanation:
Introduction / Context:
Capacitor combining rules mirror resistor combining rules but with roles swapped: capacitances add in parallel and combine reciprocally in series. This property is widely used to realize non-standard values and increase energy storage.
Given Data / Assumptions:
Concept / Approach:
In parallel, plates effectively increase total plate area while maintaining the same voltage across each capacitor, so charge adds linearly: Q_total = ΣCi * V. Since CT = Q_total / V, we get CT = ΣCi.
Step-by-Step Solution:
Verification / Alternative check:
Measure with an LCR meter: two capacitors 10 µF // 22 µF ≈ 32 µF (ignoring tolerances).
Why Other Options Are Wrong:
Common Pitfalls:
Confusing series and parallel rules; forgetting voltage ratings still apply and should not be exceeded.
Final Answer:
Correct
Discussion & Comments