Question

What happens to the resistance as the conductor is made thinker?​

Answer 1

Answer:

The formula to calculate resistance is

R = ρ$\frac{l}{A}$ where l = length of the conductor, A is the area of the cross-section and rho is the specific resistance of the material.

From this, we can say that resistance is inversely proportional to area. As the area decreases, the denominator of the fraction decreases and hence, fraction becomes larger for which resistance decreases because rho is constant at a specific temperature and the material of the conductor.

Thus, we can say that as the area of the cross section increases, the denominator of the fraction increases for which the resistance decreases due to decrease in the fractional value