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n resistances, each of r ohm, when connected in parallel give an equivalent resistance of R ohm. If these resistances were connected in series, the combination would have a resistance in ohms, equal to

a
n2R
b
R/n2
c
R/n
d
nR

detailed solution

Correct option is A

Equivalent resistance of n resistances each of r ohm in parallel is given by1R =1r +1r+....+n  times = nrso,  r = nRWhen these resistances are connected in series, effective resistance isR'=r+r+.....+ n  times = nr∴    R'=nnR=n2R

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