Home Physics Electrostatics Potential & Capacitance Grouping of Capacitor The combination of capacitors with and is …
Physics Electrostatics Potential & Capacitance Grouping of Capacitor Single Correct MCQ
Published on: September 12, 2026

The combination of capacitors with and is charged by connecting AB to a battery. Consider the following statements

(I) Energy stored in = Energy stored in + Energy stored in

(II) Charge on C 1 = Charge on C 2 + Charge on C 3

(III) Potential drop across C 1 = Potential drop across C 2 = Potential drop across C 3

Which of these is/are correct

A
I and II
B
II only
C
I and III
D
III only

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Text Solution

Verified by Experts
The correct answer is:
A
Step 1: Analyze the given combinations of capacitors.
Capacitors C1, C2, and C3 are in series and can be analyzed using series capacitor rules. In a series configuration, the charge is the same for all capacitors.

Step 2: Evaluate Statement I.
Energy stored in capacitors is given by:
$$ U = \frac{1}{2} C V^2 $$
This implies that the energy stored in C1 is equal to the energy stored in C2 plus the energy stored in C3 when you consider a common potential difference across them. Hence, Statement I is correct.

Step 3: Evaluate Statement II.
Charge is indeed shared in a series connection, so the charge on C1 is equal to the sum of the charges on C2 and C3, which implies Statement II is also correct.

Step 4: Evaluate Statement III.
In a series configuration, while charges are the same, the potential drop across different capacitors is not necessarily equal, especially if the capacitances differ. Therefore, Statement III is incorrect.

Conclusion: Thus, Statements I and II are correct, leading to Option A (I and II) as the correct answer.

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