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n resistors, each of value R, are combined to get the maximum and the minimum effective resistance. The ratio of the maximum effective resistance to the minimum effective resistance is

Asked in GSEB Board March 2022 · Series and parallel combinations

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

Step-by-step solution

Why the other options are wrong

• (1) Compares the parallel value R/n with a single resistor R, which is also the wrong way up; the maximum is the series value nR.
• (3) Compares the series value nR with a single resistor R instead of with the parallel value R/n.
• (4) Is the minimum divided by the maximum; the question asks for the maximum divided by the minimum.

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