Verified Solution • 2025–26 Session moderate

QPages 165-170: Q13: HC Verma: Concepts of Physics - Volume 2 Capacitors Pages 165-170: Q13 Solution: Each of the capacitors shown in figure has a capacitance of 2…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often treat the three parallel branches as if the battery voltage splits among them, forgetting that in parallel the full emf appears across each branch; only the series capacitors within a branch share the voltage equally (since they are identical). Remember: parallel branches have the same potential difference, while series elements share the total voltage proportionally to their capacitances.

Each of the capacitors shown in figure has a capacitance of 2 �F. Find the equivalent capacitance of the assembly between the points A and B. Suppose, a battery of emf 60 volts is connected between A and B. Find the potential difference appearing on the individual capacitors.

Step-by-Step Verified Solution

**Answer:** CAB=2C_{AB} = 2 _F, Potential difference across each = 20 V. **Step-by-Step Explanation:** Three rows of capacitors in parallel, each row has three 2 _F capacitors in series. Each row: Crow=2/3C_{row} = 2/3 _F. Three rows in parallel: CAB=3×(2/3)=2C_{AB} = 3 \times (2/3) = 2 _F. Voltage across each row = 60 V. Since each row has 3 identical capacitors, voltage across each = 60/3 = 20 V .

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