What happens to the resistance of a conductor when its length is doubled?

When the length of a conductor is doubled, its resistance also doubles. This relationship is grounded in the formula for resistance, which is given by R = ρ(L/A). In this formula, R represents resistance, ρ is the resistivity of the material, L is the length of the conductor, and A is the cross-sectional area.

When the length (L) of the conductor increases, all other factors being equal (i.e., resistivity and cross-sectional area remaining constant), the overall resistance will increase proportionally to the length. If you double the length, you effectively increase the distance that electrons must travel through the material, which leads to more collisions and interactions, ultimately increasing resistance.

Understanding this relationship is crucial for anyone working with electrical circuits, as it helps to predict how changes in the physical dimensions of a conductor impact its electrical properties.