Final answer:
The relationship between the length of a wire and the resistance is directly proportional. This can be understood using Ohm's Law, which states that resistance equals resistivity multiplied by length divided by cross-sectional area.
Step-by-step explanation:
The relationship between the length of a wire and the resistance in that wire is directly proportional. This means that as the length of the wire increases, the resistance also increases, and vice versa. This relationship can be understood using Ohm's Law, which states that resistance is equal to the product of resistivity (intrinsic property of the material) and the length of the wire divided by its cross-sectional area.
Mathematically, the relationship can be represented as:
R = (rho * L) / A
where R is the resistance, rho is the resistivity, L is the length of the wire, and A is the cross-sectional area of the wire.
For example, if the length of a wire is doubled while the resistivity and cross-sectional area remain constant, the resistance will also double.