A parallel plate capacitor has a uniform electric field ' vec E ' in the space between the plates. If the distance between the plates is 'd' and the area of each plate is ' A ', the energy stored in the capacitor is: (ε0=. permittivity of free space)

Question

A parallel plate capacitor has a uniform electric field ' vec E ' in the space between the plates. If the distance between the plates is 'd' and the area of each plate is ' A ', the energy stored in the capacitor is: (ε0=. permittivity of free space) (A) (1/2) ε0 E 2 (B) ε0 EAd (C) (1/2) ε0 E 2 Ad (D) ( E 2 Ad /ε0)

Tardigrade Admin · Accepted Answer

Energy density u=(1/2) ε0 E2
Total energy stored, U=u ×(A d) =(1/2) ε0 E2 A d

Q. A parallel plate capacitor has a uniform electric field ' $E$ ' in the space between the plates. If the distance between the plates is $^{'} d^{'}$ and the area of each plate is ' $A$ ', the energy stored in the capacitor is : $(ε_{0} =$ permittivity of free space)

$\frac{1}{2} ε_{0} E^{2}$

$ε_{0} E A d$

$\frac{1}{2} ε_{0} E^{2} A d$

$\frac{E ^{2} A d}{ε _{0}}$

Energy density $u = \frac{1}{2} ε_{0} E^{2}$
Total energy stored, $U = u \times (A d)$
$= \frac{1}{2} ε_{0} E^{2} A d$

Q. A parallel plate capacitor has a uniform electric field ' E ' in the space between the plates. If the distance between the plates is ′d′ and the area of each plate is ' A ', the energy stored in the capacitor is : (ε0​= permittivity of free space)

21​ε0​E2

ε0​EAd

21​ε0​E2Ad

ε0​E2Ad​