Question

(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?

Answer 1

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)`