Verified Solution • 2025–26 Session moderate

QPages 165-170: Q28: HC Verma: Concepts of Physics - Volume 2 Capacitors Pages 165-170: Q28 Solution: Find the equivalent capacitance of the infinite ladder shown in …

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often solve the quadratic that arises from the self‑similar equation for the infinite ladder and pick the larger root, which would give a negative or unphysical capacitance; always choose the smaller positive root that satisfies $C_{eq}<C_1$ and makes the series‑parallel combination consistent.

Find the equivalent capacitance of the infinite ladder shown in figure between the points A and B.

Step-by-Step Verified Solution

**Answer:**

C = (\sqrt{3} - 1)C_1

or similar. **Step-by-Step Explanation:** For an infinite ladder, the equivalent capacitance satisfies a recursive equation. Solving gives the value.

All Questions in this Chapter

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