Why is resistivity independent of dimensions?

Larger cross sections have less resistance, and longer conductors have more resistance. Therefore, by multiplying resistance by area and dividing by length, you get a value for a material property (resistivity ρ) that doesn’t depend on the size of the conductor.

Is resistivity independent of an object’s dimensions?

We define the resistivity ρ of a substance so that the resistance R of an object is directly proportional to ρ. Resistivity ρ is an intrinsic property of a material, independent of its shape or size.

Is resistivity of a given conductor is dependent or independent of dimensions of the conductor?

EXPLANATION: Since the resistivity of any conductor is the property of the material. So it is independent of the shape and the size.

How is the resistance of a conductor related to its dimensions?

The resistance of a conductor is directly proportional to its length (L) as R ∝ L. Thus doubling its length will double its resistance, while halving its length would halve its resistance. Also the resistance of a conductor is inversely proportional to its cross-sectional area (A) as R ∝ 1/A.

Does resistivity depend on dimensions?

The resistivity depends on the nature of the material. The resistivity depends on the average relaxation time and number of free electrons per unit volume. The resistivity doesn’t depend on the dimensions (length and area) of the material. So option 3 is correct.

Does resistivity depend on the physical shape or dimensions of a conductor if yes how if no what does resistivity depend on?

Resistivity is a property that describes the extent to which a material opposes the flow of electric current through it. It is a property of the material itself (not the size or shape of the sample), usually depends on temperature and may depend on other quantities such as pressure.

Why does resistivity increase with length?

An electric current flows when electrons move through a conductor, such as a metal wire. The resistance of a long wire is greater than the resistance of a short wire because electrons collide with more ions as they pass through. The relationship between resistance and wire length is proportional .

Why resistivity does not depend on length and area?

Resistivity does not depend on the length of a material because it is a fix property of materials (only varies with temperature). Different types of materials have its own resistivity (for example: copper has a resistivity of 1.72×10 -18 ohm. m at 20 degree celcius).

Does the resistivity of a conductor depend?

The resistivity is the property of the material which depends on the nature and the composition of the material and the composition is affected by the temperature. And the length and area of the cross-section is affected by the resistance, not the resistivity. Hence, the resistivity depends on the temperature.

Does resistivity change with length?

Resistivity is a property of a material and does not change with length though it may change with temperature. You can also say that the resistivity of a material is fixed or constant at a given temperature.

How the resistivity of a conductor vary with length and cross-sectional area of the conductor?

Electrical resistance is directly proportional to the length (L) of the conductor and inversely proportional to the cross-sectional area (A). Resistance is inversely proportional to the area of cross-section. When the area of cross-section increases the resistance decreases and vice versa.

On what factors does resistivity of a conductor depend?

Note: The resistivity of a conductor depends only on the above mentioned three factors i.e., length, area of cross-section, and nature of the material of the conductor. Additionally, it also depends upon the physical conditions like temperature and pressure but is independent of its shape and size.

Does the resistivity of a conductor depend on its shape and size?

Since the resistivity of any conductor is the property of the material. So it is independent of the shape and the size. It depends on the material of the conductor. So option 1 is correct.

What is the difference between resistivity and resistance?

The resistivity is a material characteristic and it always refer to a well-defined portion of the material: length and inner surface area. The resistance, however, is an object’s characteristic and thus it depends on the conductor’s dimensions, because it applies the standard resistivity and takes into account the conductor’s size.

Which equation is used to calculate the resistance of a conductor?

The equation that is used in answering this question is that for resistance: Where R = resistance (ohms); rho = resistivity (a fixed parameter which is a property of the conductor material); l = length of conductor (m); A = cross-sectional area of the conductor (sqm).

What is resistivity and conductivity at 20 degrees Celsius?

Resistivities and Conductivities of Various Materials at 20 °C [1] Values depend strongly on amounts and types of impurities. The materials listed in the table are separated into categories of conductors, semiconductors, and insulators, based on broad groupings of resistivity.