Question

What is the total resistance of resistors each of resistance are connected in series and parallel?

Answer 1

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i) series = R+R+R.........+R = nR

ii) parallel = 1/(1/R + 1/R +......+ 1/R) = 1/(n/R) = R/n

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Answer 2

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Ohm 's Law and Parallel Resistors

This implies that the total resistance in a parallel circuit is equal to the sum of the inverse of each individual resistances. Therefore, for every circuit with n number or resistors connected in parallel, Rn(parallel)=1R1+1R2+1R3… +1Rn.