Resistivity dependent on length and area or not
resistivity is a characteristic of material NOT GEOMETRY
RESISTANCE is another story.
No. Resistivity depends on the resistance of a material not on its dimensions.
Yes, the resistivity of a material is dependent on its length and area.
To understand how length and area affect resistivity, first let's define what resistivity is. Resistivity (ρ) is a property that quantifies how strongly a material opposes the flow of electric current. It is typically measured in ohm-meters (Ω·m).
The resistivity of a material is given by the formula ρ = R × A / L, where R is the resistance of the material, A is the cross-sectional area of the material, and L is the length of the material.
From this formula, you can see that resistivity is directly proportional to the resistance of the material. Resistance is determined by the type of material and its dimensions.
In terms of length (L), resistivity is directly proportional to it. This means that as the length of a material increases, its resistivity also increases. In other words, longer materials offer more opposition to the flow of current.
In terms of area (A), resistivity is inversely proportional to it. Therefore, as the cross-sectional area of a material increases, its resistivity decreases. Materials with larger cross-sectional areas allow for more current to flow through them with less resistance.
So, in conclusion, the resistivity of a material is indeed dependent on its length and area.