Question

Which of the following doesn't represent energy (here symbols have their usual meanings)

• A. $\frac{k{q}_1{q}_2}{r}$
• B. $\frac{1}{2}C{V}^2$
• C. $qϵ$, where ($ϵ$ =E.M.F)
• D. $\frac{1}{2}{ϵ}_0{E}^2\times Area$

Answer 1

The correct option is D $\frac{1}{2}{ϵ}_0{E}^2\times Area$

We know that $\frac{1}{2}{ϵ}_0{E}^2$ is energy density (i.e., $E/Volume$)
$\frac{1}{2}{ϵ}_0{E}^2$$\left(Volume\right)=Energy$
$\frac{1}{2}{ϵ}_0{E}^2$ $\left(Area\right)\left(length\right)=Energy$
$\frac{1}{2}{ϵ}_0{E}^2\left(Area\right)=\frac{Energy}{length}$