A parallel plate condenser has a uniform electric field E (V/m) in the space between the plates. If the distance between the plates is d (m) and area of each plate is A (m2) the energy (joules) stored in the condenser is :

Question

A parallel plate condenser has a uniform electric field E (V/m) in the space between the plates. If the distance between the plates is d (m) and area of each plate is A (m2) the energy (joules) stored in the condenser is : (A) (1/2) ∈0 E2 Ad (B) E2 Ad ∈0  (C) (1/2) ∈0 E2  (D)  ∈0 E Ad

Tardigrade Admin · Accepted Answer

U =(1/2) CV 2 =(1/2)((∈0 A / d )) V 2 =(1/2)(ϵ0 Ad )(( V / d ))2=(1/2) ∈0 E 2 Ad

Q. A parallel plate condenser has a uniform electric field $E (V / m)$ in the space between the plates. If the distance between the plates is $d (m)$ and area of each plate is $A (m^{2})$ the energy (joules) stored in the condenser is :

$\frac{1}{2} \in_{0} E^{2} A d$

$E^{2} A d \in_{0}$

$\frac{1}{2} \in_{0} E^{2}$

$\in_{0} E A d$

$U = \frac{1}{2} C V^{2}$
$= \frac{1}{2} (\frac{\in _{0} A}{d}) V^{2}$
$= \frac{1}{2} (ϵ_{0} A d) (\frac{V}{d})^{2} = \frac{1}{2} \in_{0} E^{2} A d$

Q. A parallel plate condenser has a uniform electric field E(V/m) in the space between the plates. If the distance between the plates is d(m) and area of each plate is A(m2) the energy (joules) stored in the condenser is :

21​∈0​E2Ad

E2Ad∈0​

21​∈0​E2

∈0​EAd