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Current Electricity

Question
CBSEENPH12037488

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?

Solution
i) To get the maximum resistance, the resistors should be in a series combination.
                Rmax = nR 

ii) To get the minimum resistance, the resistors should have a parallel combination.
                Reff = R/n

where, n is the number of resistors.

Ratio of maximum to minimum resistance is given by, 

   RSeriesRparallel = nRRn = n2