Physics Electrostatics SZABMU 2023
PMDC Verified Question 38 of 131
Q.155 Equivalent capacitance is less than least value of capacitance in a combination in:
A
Series
B
Parallel
C
Closed circuit
D
Open circuit
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option A: Series
1. Concept:

The mathematical method for summing capacitors in series relies on adding their reciprocals, which guarantees a final value strictly smaller than the smallest individual component.

2. Formula:

$$ \frac{1}{C_{eq}} = \frac{1}{C_1} + \frac{1}{C_2} + \dots $$

3. Solution:

  • Because you are adding fractions to form a larger denominator value, inverting that final sum forces the equivalent capacitance (\( C_{eq} \)) to shrink below any of the starting values. This effectively widens the total plate separation.


4. Why other options are incorrect:

In Parallel combinations (Option B), the capacitances are directly added (\( C_{eq} = C_1 + C_2 \)), so the equivalent value is always much larger than the largest individual capacitor.

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