Question

How does the resistance of a conductor depend on

1. Length of the conductor?
2. Area of cross-section of the conductor?
3. Temperature of the conductor?

Answer 1

Resistance: Resistance of a circuit 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. The resistance of a conductor increases as the length of the conductor increases and vice versa.
2. The resistance of a conductor decreases as the cross-section area of the conductor increases and vice versa.
3. The resistance of a conductor increases as the temperature of the conductor increases and vice versa.