The mean electrical energy density between th | vedclass

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

Question

(A) For a parallel plate capacitor,the energy density $u = \frac{1}{2} \varepsilon_0 E^2$. Since the electric field $E$ between the plates is given by

Vedclass · Accepted Answer

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

Vedclass · Answer

(A) For a parallel plate capacitor,the energy density $u = \frac{1}{2} \varepsilon_0 E^2$. Since 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 the value of $E$ in the energy density formula: $u = \frac{1}{2} \varepsilon_0 \left( \frac{\sigma}{\varepsilon_0} \right)^2 = \frac{\sigma^2}{2 \varepsilon_0}$. Now,substituting $\sigma = \frac{q}{A}$: $u = \frac{(q/A)^2}{2 \varepsilon_0} = \frac{q^2}{2 \varepsilon_0 A^2}$.

The mean electrical energy density between the plates of a charged air capacitor is (where $q=$ charge on capacitor,$A=$ area of capacitor plate):

Similar Questions

The charge $Q$ on a capacitor varies with voltage $V$ as shown in the figure,where $Q$ is taken along the $X$-axis and $V$ along the $Y$-axis. The area of triangle $OAB$ represents

If the potential difference across a capacitor is increased from $5 \,V$ to $15 \,V$, then the ratio of final energy to initial energy stored in the capacitor is

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

$A$ parallel plate air capacitor has a uniform electric field $E$ in the space between the plates. The area of each plate is $A$ and the distance between the plates is $d$. The energy stored in the capacitor is $[\varepsilon_0 = \text{permittivity of free space}]$

$A$ 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

Vedclass Test Series

Exam Paper Generator

Online Exam Module