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Find the ratio of the minimum to the maximum resistance obtained by connecting n resistors, each of resistance r.

Asked in GSEB Board July 2023 · Series and parallel combinations

• (1) 1:1
• (2) n²:n
• (3) 1:n²
• (4) n²:1

Step-by-step solution

Why the other options are wrong

• (1) Would mean the series and parallel arrangements give the same resistance, which happens only for a single resistor.
• (2) n²:n is just n:1, the series value nr compared with one resistor r; the minimum is the parallel value r/n, and it comes first.
• (4) Is the maximum-to-minimum ratio; the question asks for minimum to maximum.

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