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

If $V$ denotes the potential difference across the plates of a capacitor of capacitance $C$,the dimensions of $CV^2$ are

The total energy stored in the capacitor system shown in the figure will be (in $\mu J$)

How much work is required to increase the voltage of a $6\,\mu F$ capacitor from $10\ V$ to $20\ V$?

The energy stored in a capacitor is $W$. To double the charge on the plates of the capacitor,the additional work to be done is

When a parallel plate capacitor is fully charged by a battery,the potential difference between the two plates becomes equal to the electromotive force $(EMF)$ of the battery. What is the ratio of the energy stored in the capacitor to the work done by the battery?

Vedclass Test Series

Exam Paper Generator

Online Exam Module