$n$ conducting wires of same dimensions but having restivities $1,2,3, . . n$ are connected in series. The…

$n$ conducting wires of same dimensions but having restivities $1,2,3, . . n$ are connected in series. The equivalent resistivity of the combination is
  1. $1 \frac{n(n+1)}{2}$
  2. $\frac{n+1}{2}$
  3. $\frac{n+2}{2 n}$
  4. $\frac{2 n}{n+1}$

Solution

Resistivity of the combination $ \begin{aligned} =(1+2+3+\ldots+n) =\frac{n(n+1)}{2} \end{aligned} $

Asked in: AP EAMCET 2004

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