(a) Given n resistors each of resistance R, how will you combine them to get the (i) maximum, (ii) minimum effective resistance? What is the ratio of the maximum to minimum resistance?

Explanation

For maximum effective resistance the n resistors must be connected in series.
Maximum effective resistance `R_(s) = nR`
For minimum effective resistance then n resistors must be connected in parallel.
Maximum effective resistance `R_(P) = R//n`
`:. (R_(s))/(nP)= (nR)/(R//n) n^(2)`