
PROVE THAT FOR THE SAME ELECTRIC FIELD BETWEEN THE PLATES OF THE CAPACITOR, ENERGY DENSITY IN DIELECTRIC IS GREATOR THAN IN VACCM
Energy density is energy per unit volume.
Energy density=
0 * E2/2
Forthe same electric field Beteween the plates of capicitor, Energy density is directly proportional to
0.
In the case of a dielectric,
Energy density =K
0E2/2
Where K is the relative permitivity.
Thus energy Density in dielecric is K times that in vacuum.
energy
capacitance which is
dielectric const.
for vaccum K(dielectric constant) is unity and
capacitance of capacitor having dielectric between it is K times that in vaccum.
energy is K times that in vaccum.
as energy density
enery
energy density is K times that in vaccum.