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QPages 198-203: Q46: HC Verma: Concepts of Physics - Volume 2 Electric Current in Conductors Pages 198-203: Q46 Solution: An infinite ladder is constructed with and resistors, as shown…
⚠️ Common Exam Traps & Conceptual Pitfalls
When forming the self‑similar equation for the infinite ladder, remember the first 1 Ω resistor is in series with the parallel combination of the 2 Ω resistor and the rest of the ladder; omitting this series term yields an incorrect effective resistance and consequently an erroneous current through the nearest 2 Ω resistor.
An infinite ladder is constructed with and resistors, as shown in the figure. a) Find the effective resistance between the points A and B. b) Find the current that passes through the resistor nearest to the battery.
Step-by-Step Verified Solution
**Answer:** (a) (b) A.
**Step-by-Step Explanation:**
For an infinite ladder of and , the effective resistance satisfies a recursive equation. Solving gives [citation:2].
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