Question

A steady current is set up in a metallic wire of non-uniform cross section. How is the rate of flow of free electrons related to the area of cross section A?

• A. $K\propto A^{\circ }$
  
• B. $K\propto A^{-1}$
  
• C. $K\propto A$
  
• D. $K\propto A^2$

Answer 1

The correct option is A $K\propto A^{\circ }$


The current is the same for all cross sections of a conductor of non-uniform cross section. Charge flows faster where the conductor is smaller in cross-section and slower where the conductor is larger in cross section, so that charge rate remains uncharged.