Consider a parallel plate capacitor of area A | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) The energy density $u$ (energy per unit volume) stored in an electric field $E$ is given by the formula: $u = \frac{1}{2} \varepsilon_0 E^2$. The

Vedclass · Accepted Answer

$\frac{1}{2} \varepsilon_0 E^2 Ad$

Vedclass · Answer

(A) The energy density $u$ (energy per unit volume) stored in an electric field $E$ is given by the formula: $u = \frac{1}{2} \varepsilon_0 E^2$. The total volume $V$ of the space between the plates of a parallel plate capacitor is the product of the area $A$ and the separation $d$,so $V = Ad$. The total potential energy $U$ stored in the capacitor is the product of the energy density and the volume: $U = u 	imes V$. Substituting the expressions,we get: $U = (\frac{1}{2} \varepsilon_0 E^2) 	imes (Ad)$. Therefore,the potential energy stored is $U = \frac{1}{2} \varepsilon_0 E^2 Ad$.

Consider a parallel plate capacitor of area $A$ (of each plate) and separation $d$ between the plates. If $E$ is the electric field and $\varepsilon_0$ is the permittivity of free space between the plates,then the potential energy stored in the capacitor is $:-$

Similar Questions

$A$ parallel plate capacitor has a plate separation $d$ and plate area $A$. If it is charged to a potential $V$ and then disconnected from the battery,calculate the work done in increasing the separation between the plates to $2d$.

$A$ capacitor has two circular plates,each of radius $8\,cm$,separated by a distance of $1\,mm$. $A$ dielectric slab (dielectric constant $K = 6$) is inserted between the plates. Calculate the energy stored in the capacitor when it is connected to a $150\,V$ potential difference.

Three plates $A, B, C$ each have an area of $50 \, cm^2$ and the distance between them is $3 \, mm$. Find the energy stored in the system when the plates are fully charged.

The charge $q$ on a capacitor varies with voltage $V$ as shown in the figure. The area of the triangle $AOB$ represents:

The energy of a charged capacitor resides in

Vedclass Test Series

Exam Paper Generator

Online Exam Module