Question

What happens to the resistance as the conductor is made thinner?

Answer 1

When a conductor is made thinner then resistance is:

1. The end-to-end resistance of a conductor is given by its length and area: $R=\frac{\rho l}{A}$. Here, $\rho$is the specific resistance, $\mathrm{l}$ is the length and $\mathrm{A}$ is the area.
2. This is due to the fact that resistance is inversely proportional to the cross-sectional area.
3. The conductor becomes thinner then the area decreases.
4. The area decreases then the resistance increases.