The resistivity of a wire depends on itsa)Lengthb)Cross-sectional area...
Understanding Resistivity
Resistivity is a fundamental property of materials that quantifies how strongly they resist the flow of electric current. The resistivity of a wire is primarily determined by its material composition rather than its dimensions or shape.
Key Factors Influencing Resistivity
- Material Composition:
- The resistivity of a wire is intrinsically linked to the type of material it is made from. Different materials have unique atomic structures and electron mobility, which influence how easily electrons can flow through them.
- For example, metals like copper and aluminum have low resistivity, making them excellent conductors, while materials like rubber or glass have high resistivity, classifying them as insulators.
- Temperature Dependence:
- The resistivity of materials can also change with temperature. For most metals, resistivity increases with temperature due to increased atomic vibrations, which hinder the flow of electrons.
- Impurities and Alloying:
- The presence of impurities or the formation of alloys can also affect resistivity. Adding certain elements can either increase or decrease the resistivity of a metal, depending on the nature of the added material.
Dimensions and Resistivity
- Length and Cross-sectional Area:
- While the length and cross-sectional area of a wire affect its overall resistance (R = ρL/A), they do not influence its resistivity (ρ). The resistivity remains constant for a given material, regardless of the wire's size.
In summary, the resistivity of a wire is fundamentally determined by the material from which it is made, making option 'D' the correct choice. Understanding this concept is crucial for applications in electrical engineering and material science.
The resistivity of a wire depends on itsa)Lengthb)Cross-sectional area...
From Resistance,

Where R = resistance, l = length, A = area of cross-section and ρ = resistivity
If l = 1 m and A = 1 m
2, then
R = ρ i.e.
- Resistivity is numerically equal to the resistance of a substance having unit area of cross-section and unit length.
- Resistivity is the intrinsic property of the substance. It is independent of shape and size of the body i.e. on length and area. Hence, option 1 and 2 is incorrect.
- Formula of resistivity is

Where, m = mass of electron, n = Number of electron per unit volume of the conductor, τ = relaxation time. - Therefore, the resistivity of a wire depends on its material (n)
- For different substances their resistivity is also different as ‘n’ will be different.
- Resistivity depends on the temperature.