Question

The capacitance of cylindrical capacitors depends upon difference of inner and outer radii $r$ as

• A. $r$
• B. $r^2$
• C. $r^3$
• D. None of these

Answer 1

The correct option is D None of these

The capacitance of a cylindrical capacitor of height $l$ is given by:

$C=\frac{2\pi {\epsilon }_{0}l}{lo{g}_{e}b-lo{g}_{e}a}$

where $a=$ inner radius of cylinder

$b=$ outer radius of cylinder

We can see that capacitance $C$ doesn't depend upon $r=(b-a)$ or $r^2$ or $r^3$.