When increasing the area of the conductor, what is the expected outcome regarding resistance?

When the area of a conductor is increased, the expected outcome is that the resistance decreases. This is rooted in the fundamental principles of electrical resistance defined by the formula:

[ R = \frac{\rho L}{A} ]

In this equation, ( R ) represents the resistance, ( \rho ) is the resistivity of the material (a constant for a given material), ( L ) is the length of the conductor, and ( A ) is the cross-sectional area.

As the area ( A ) increases while the length ( L ) and resistivity ( \rho) remain constant, the overall resistance ( R ) becomes smaller. This occurs because the larger cross-sectional area allows more pathways for the electric current to flow through the conductor, effectively reducing the opposition to the flow. Therefore, a thicker conductor will typically exhibit lower resistance compared to a thinner one.

Considering this principle, if the area is increased, it leads to a decrease in resistance, making the answer correct.