Question

Energy per unit volume for a capacitor having area a and separation d kept at potential difference v is given by

Answer 1

energy per unit volume=1/2×ephsilon not ×electric field^2

Answer 2

•Energy per unit volume for a capacitor is given as:

•For a parallel plate capacitor, capacitance of the capacitor C = A€/d

Where A is the area, € is the permittivity of free space, and d is the distance between the two capacitor plates.

•Volume of the capacitor = Ad

•Energy stored in a capacitor, E = CV²/2

•Therefore, Energy stored per unit volume is calculated as

E' = (CV²/2)/Ad = (A€V²/d)/2Ad = €V²/2d²