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A set of n identical resistors is arranged once in a series combination and once in a parallel combination. What is the ratio of the larger equivalent resistance to the smaller equivalent resistance?

1. n/2
2. 1/n²
3. n²
4. 1/n

Correct answer: n²

Solution

Series equivalent = nR (larger); parallel equivalent = R/n (smaller). Ratio of larger to smaller = nR/(R/n) = n^2.

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