Rankers Physics

Combination of Resistors: Practice Problem & Solution

$n$ equal resistors are first connected in series and then connected in parallel. What is the ratio of the maximum to the minimum resistance? (1989)
$n$
$1/n^2$
$n^2$
$1/n$

Solution Explained:

To solve this problem, we apply the core principles of Combination of Resistors. Understanding the underlying formula is key to arriving at the correct answer below:

Maximum resistance is obtained in a series combination ($R_s = nR$). Minimum resistance is obtained in a parallel combination ($R_p = R/n$). The ratio is $\frac{R_s}{R_p} = \frac{nR}{R/n} = n^2$.

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