Resistance: Resistance of a wire is directly proportional to the length of the conductor and inversely proportional to the area of the cross-section.
That is, \(R\propto\frac{L}{A}\)
Introducing a constant of proportionality,
\(R=\frac{\rho L}{A}\)(where \(\rho\) is the resistivity of the material.)
1. From the formula, we can observe that the resistance is inversely proportional to the cross-section area.
2. Hence, the resistance increases as the cross-section area decreases and vice-versa.
