TS EAMCET · Physics · Current Electricity
\(n\) conducting wires of same dimensions but having restivities \(1,2,3, . . n\) are connected in series. The equivalent resistivity of the combination is
- A \(1 \frac{n(n+1)}{2}\)
- B \(\frac{n+1}{2}\)
- C \(\frac{n+2}{2 n}\)
- D \(\frac{2 n}{n+1}\)
Answer & Solution
Correct Answer
(A) \(1 \frac{n(n+1)}{2}\)
Step-by-step Solution
Detailed explanation
Resistivity of the combination \[ \begin{aligned} =(1+2+3+\ldots+n) =\frac{n(n+1)}{2} \end{aligned} \]
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