Explain how the resistance of a conductor depends on its dimensions.

(N/A) The resistance $R$ of a conductor is given by the formula $R = \rho \frac{L}{A}$,where $\rho$ is the resistivity of the material,$L$ is the length of the conductor,and $A$ is the cross-sectional area.
$1$. Dependence on Length $(L)$: The resistance $R$ is directly proportional to the length $L$ of the conductor $(R \propto L)$. This means that if the length of the conductor is increased while keeping the cross-sectional area constant,the resistance increases.
$2$. Dependence on Area $(A)$: The resistance $R$ is inversely proportional to the cross-sectional area $A$ of the conductor $(R \propto \frac{1}{A})$. This means that if the cross-sectional area is increased (e.g.,by increasing the thickness of the wire),the resistance decreases.