The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is $31 . 4cm$ . The diameter of wire is measured as $2 . 4cm$ . The resistivity of the given wire is measured as $x \times {10}^{- 3}Ωcm$ . The value of $x$ is _____ .
[Take $\pi = 3 . 14$ ]

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The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is $31 . 4cm$ . The diameter of wire is measured as $2 . 4cm$ . The resistivity of the given wire is measured as $x \times {10}^{- 3}Ωcm$ . The value of $x$ is _____ .

[Take $\pi = 3 . 14$ ]

The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is

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Since, slope of V−I graph represents the resistance, so $R = \tan 45 ° = 1Ω$

Now, resistance of wire is given by $R = \dfrac{ρL}{A}$

So, resistivity of the wire is $ρ = \dfrac{A}{RL} = \dfrac{\pi{r}^{2}}{RL} = \dfrac{\pi\left(1 . {2}^{2} \times {10}^{- 4}\right)}{31 . 4 \times {10}^{- 2}} = 1 . 44 \times {10}^{- 3}Ωm = 144 \times {10}^{- 3}Ωcm$

The variation of applied potential and current flowing through a...

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