The mean electric energy density between the | vedclass

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

Question

(A) The electric energy density $u$ is defined as the energy per unit volume,given by $u = \frac{1}{2} \varepsilon_0 E^2$.For a parallel plate capacit

Vedclass · Accepted Answer

$\frac{q^2}{2\varepsilon_0 A^2}$

Vedclass · Answer

(A) The electric energy density $u$ is defined as the energy per unit volume,given by $u = \frac{1}{2} \varepsilon_0 E^2$.For a parallel plate capacitor,the electric field $E$ between the plates is given by $E = \frac{\sigma}{\varepsilon_0}$,where $\sigma = \frac{q}{A}$ is the surface charge density.Substituting $E$ into the energy density formula:$u = \frac{1}{2} \varepsilon_0 \left( \frac{\sigma}{\varepsilon_0} \right)^2 = \frac{\sigma^2}{2\varepsilon_0}$.Substituting $\sigma = \frac{q}{A}$:$u = \frac{(q/A)^2}{2\varepsilon_0} = \frac{q^2}{2\varepsilon_0 A^2}$.Thus,the correct option is $A$.

The mean electric energy density between the plates of a charged capacitor is (here $q$ = charge on the capacitor and $A$ = area of the capacitor plate).

Similar Questions

$A$ charge of $40\,\mu C$ is given to a capacitor having capacitance $C = 10\,\mu F$. The stored energy in ergs is

$A$ capacitor of capacitance $10 \mu F$ is charged to $10 \text{ V}$. The energy stored in it is (in $\mu J$)

In the figure,the charge on the capacitor is plotted against the potential difference across the capacitor. The capacitance and energy stored in the capacitor are respectively:

The energy of a parallel plate capacitor when connected to a battery is $E$. With the battery still in connection,if the plates of the capacitor are separated so that the distance between them is twice the original distance,then the electrostatic energy becomes

The energy required to charge a parallel plate capacitor with plate separation $d$ and plate area $A$ such that the uniform electric field between the plates is $E$,is

Vedclass Test Series

Exam Paper Generator

Online Exam Module