The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is $31.4 cm$ . The diameter of wire is measured as $2.4 cm$ . The resistivity of the given wire is measured as $x \times 10^{- 3} Ω cm$ . The value of $x$ is _____ .
[Take $π = 3.14$ ]

Question

The variation of applied potential and current flowing through a given wire is shown in figure. The length of wire is $31.4 cm$ . The diameter of wire is measured as $2.4 cm$ . The resistivity of the given wire is measured as $x \times 10^{- 3} Ω cm$ . The value of $x$ is _____ .

[Take $π = 3.14$ ]

Aicharya · Accepted Answer

Since, slope of V&minus;I graph represents the resistance, so R = tan 45 &#176; = 1 &#160; &#937; Now, resistance of wire is given by R = &#961; L A So, resistivity of the wire is &#961; = A R L = &#960; r 2 R L = &#960; 1 . 2 2 &#215; 10 - 4 31 . 4 &#215; 10 - 2 = 1 . 44 &#215; 10 - 3 &#160; &#937; &#160; m = 144 &#215; 10 - 3 &#937; &#160; cm

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

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