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The specific resistance of a conducting wire depends upon
Explanation
Specific resistance, also known as resistivity (ρ), is an intrinsic property of a material that quantifies how strongly it opposes the flow of electric current [t3][t4]. While the total resistance (R) of a wire depends on its length (l), area of cross-section (A), and material, the specific resistance is defined as the resistance of a conductor of unit length and unit cross-sectional area [c1][t9]. According to the formula R = ρ(l/A), resistivity (ρ) is the constant of proportionality [c1]. It is independent of the physical dimensions (shape or size) of the sample and depends only on the nature of the material and its temperature [t3][t6][t8]. Therefore, changing the length or area of a wire will change its resistance but will not alter its specific resistance, as that remains constant for a given material [t4][t9].
Sources
- [1] Science , class X (NCERT 2025 ed.) > Chapter 11: Electricity > Activity 11.3 > p. 178