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  • A wire has a resistance per unit length of r ohm/metre. It is used to form a D as shown in figure. The diameter is . Then the resistance between the ends A and B is - <img alt="

A wire has a resistance per unit length of r ohm/metre. It is used to form a D as shown in figure. The diameter is . Then the resistance between the ends A and B is -

Option: 1

 \frac{\pi r \ell}{2+\pi}
 


Option: 2

\frac{2+\pi}{\pi r \ell}


Option: 3

\ell r(\pi+2) / 2


Option: 4

None of the above


Answers (1)

best_answer

\begin{gathered} \mathrm{R}_{\mathrm{I}}=\ell \mathrm{r} \\ \mathrm{R_{II}} =\left(\frac{\pi \ell}{2}\right) \mathrm{r} \end{gathered}\begin{gathered} \mathrm{R}_{\mathrm{1}}=\ell \mathrm{r} \\ \mathrm{R_{2}} =\left(\frac{\pi \ell}{2}\right) \mathrm{r} \end{gathered}
Req. is parallel of R_1 \ \& \ R_2

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manish

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