Q.18. Explain the following.
(d) How does the resistance of a wire vary with its area of cross-section?
We know that
Thus, the resistance of a wire is inversely proportional to its area of cross-section.
R=ρL/A
Where, ρ is the resistivity of the conductor.
R is the resistance of the conductor,
L is the length of the conductor
A is the cross-sectional area of the conductor.
Since the area is inversely proportional to the resistance, as the area of the wire will increase, the resistance will decrease and vice versa.