How does wire length affect electrical resistance?
The electrical resistance of a wire is directly proportional to its length. This means that as the length of a wire increases, its resistance to the flow of electric charge also increases.12
This relationship is defined by the formula for resistance:
In this equation:
* is the resistance in ohms.
* (rho) is the resistivity of the material, which is a characteristic property of the substance used.32
* is the length of the wire.32
* is the cross-sectional area of the wire.32
Because resistance is directly proportional to length, a longer wire provides more opposition to the movement of charge carriers, resulting in higher resistance compared to a shorter wire of the same material and cross-sectional area. Conversely, a larger cross-sectional area results in lower resistance.12