Verified Solution • 2025–26 Session moderate

QPages 165-170: Q62: HC Verma: Concepts of Physics - Volume 2 Capacitors Pages 165-170: Q62 Solution: Consider an assembly of three conducting concentric spherical…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often incorrectly add the capacitances of the two spherical shells in parallel instead of recognizing the series configuration, or they fail to invert the sum of reciprocals ($1/C_{eq} = 1/C_1 + 1/C_2$) when calculating the final equivalent capacitance.

Consider an assembly of three conducting concentric spherical shell of radii a, b and c as shown in figure. Find the capacitance of the assembly between the points A and B.

Step-by-Step Verified Solution

**Answer:** C=4πϵ0(abb−a+bcc−b)C = 4\pi\epsilon_0\left(\frac{ab}{b-a} + \frac{bc}{c-b}\right). **Step-by-Step Explanation:** Three concentric shells form two spherical capacitors in series. The equivalent capacitance is found by series combination .

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