Verified Solution • 2025–26 Session moderate

QPages 165-170: Q11: HC Verma: Concepts of Physics - Volume 2 Capacitors Pages 165-170: Q11 Solution: The outer cylinders of two cylindrical capacitors of…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often mistake the arrangement as a series connection because the inner conductors are joined, overlooking that the outer cylinders are also common; with both conductors at the same potential the two capacitors are in parallel, so their capacitances add ($C_{eq}=C_1+C_2$). Remember to check which conductors share a node before deciding series or parallel.

The outer cylinders of two cylindrical capacitors of capacitance 2.2 �F each, are kept in contact and the inner cylinders are connected through a wire. A battery of emf 10 V is connected as shown in figure. Find the total charge supplied by the battery to the inner cylinders.

Step-by-Step Verified Solution

**Answer:** Total charge = 44 _C. **Step-by-Step Explanation:** Each cylindrical capacitor has C=2.2C = 2.2 _F. They are connected in parallel (inner cylinders connected together).
C_{eq} = 2.2 + 2.2 = 4.4 \text{ _F}
Q = C_{eq}V = 4.4 \times 10 = 44 \text{ _C}

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