Q. 20 A4.1( 20 Votes )

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 :

Total number of resistors = n


Resistance of each resistor = R


(i)


When n resistors are connected in series, effective resistance R1is the maximum,


given by the product nR.


Hence, maximum resistance of the combination, R1 = nR


(ii)


When n resistors are connected in parallel, the effective resistance (R2) is the minimum, given by the ratio: R/n


Hence, minimum resistance of the combination, R2 = R/n


(iii) The ratio of the maximum to the minimum resistance is,




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