Capacitors in parallel — to compute total capacitance of capacitors connected in parallel, sum the individual capacitances (CT = C1 + C2 + …). Is this statement correct?

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:

• Capacitors are connected node-to-node (parallel).
• Ideal components (no leakage or parasitics) for the rule statement.

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