What is the formula for resistivity of a wire?

The resistivity of a wire is represented by the formula that relates resistance to the physical dimensions of the wire and its material properties. The correct representation of this relationship is shown in the formula where resistance ( R ) is equal to the resistivity constant ( K ) multiplied by the length ( L ) of the wire, divided by the cross-sectional area ( A ) of the wire.

This formula captures the essence that the resistance of a conductor is directly proportional to its length and inversely proportional to its cross-sectional area. The longer the wire, the more resistance it has due to the increased distance that electrons must travel, leading to more collisions with atoms. Conversely, increasing the cross-sectional area allows more electrons to flow through simultaneously, reducing resistance.

Resistivity ( K ) is a specific property of the material making up the wire, indicating how strongly the material opposes the flow of electric current. Thus, to evaluate the resistance of a wire (in Ohms), you can use the formula that combines these factors together.