Question

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

Answer:

for maximum effective resistance put in series and for minimum resistance put all the resistance in parallel

Answer 2

Answer:

to get maximum resistance we should combine the resistors in series and to get the minimum resistance we should combined the resistors in parallel

let us consider some n resistors

so

max resistance=R+R+R........upto n=nR

minimum resistance=1/R+1/R+1/R.......upto n=n/R

ratio of maximum resistance to minimum resistance is

=nR/(n/R)

= R²:1

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