Physics Electrostatics NUMS 2023
PMDC Verified Question 59 of 131
Q.176 In parallel combination of two capacitors, their equivalent capacitance is equal to:
A
\( C_1 + C_2 \)
B
\( 1/C_1 + 1/C_2 \)
C
\( \frac{C_1 C_2}{C_1 + C_2} \)
D
\( \frac{2C_1 C_2}{C_1 + C_2} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: \( C_1 + C_2 \)
1. Concept:

Wiring capacitors in parallel inherently fuses their isolated metal plates into one massive, shared conductive area, which directly aggregates their total individual storage capacities.

2. Formula:

$$ C_{eq} = C_1 + C_2 + C_3 + \dots $$

3. Solution:

  • Because parallel branches each feel the same total battery voltage, the total combined charge stored by the system is simply \( Q_{total} = Q_1 + Q_2 \).


  • Substituting \( Q = CV \) proves that \( C_{eq}V = C_1V + C_2V \), allowing the shared voltage to cancel out, leaving straightforward addition.


4. Why other options are incorrect:

Options B and C represent the formulas applied specifically to Capacitors wired strictly in Series, where capacity acts reciprocally.

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