Q. The dimensions of $1/2$ $\varepsilon E^{2}$ are same as
A) Energy density (energy per unit volume)
B) Energy
C) Power
D) None of the above
Explanation
The unit of $\frac{1}{2}\varepsilon E^{2} = \frac{C^{2}}{Nm^{2}}\left( \frac{N}{C} \right)^{2}$ $= \frac{C^{2}}{Nm^{2}}\frac{N^{2}}{C^{2}} = \frac{N}{m^{2}} = \frac{Nm}{m^{3}}$ $= \frac{J}{m^{3}} =$energy density
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.