$A$ 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 (where $\epsilon_{0}$ is the permittivity of free space).
- A$\frac{1}{2} \frac{\epsilon_{0} EA}{d}$
- B$\frac{1}{2} \epsilon_{0} E^{2} Ad$
- C$\frac{1}{2} \frac{\epsilon_{0} Ad}{E^{2}}$
- D$\frac{1}{2} \frac{\epsilon_{0} E^{2} A}{d}$
Explore More
Similar Questions
$A$ capacitor of capacitance $6 \, \mu F$ is charged up to $100 \, V$. The energy stored in the capacitor is ........ $J$.
Easy
View Solution$A$ capacitor having a capacity of $2.0 \; \mu F$ is charged to $200 \; V$ and then the plates of the capacitor are connected to a resistance wire. The heat produced in joules will be:
Medium
View SolutionThe capacitance of a capacitor is $4 \times 10^{-6} \ F$ and it is charged to a potential difference of $100 \ V$. The energy required to completely discharge it is . . . . . . $J$.
Easy
View SolutionIf the charge on the capacitor is increased by $3 \ C$,the energy stored in it increases by $44 \%$. The original charge on the capacitor is (in $C$)
If the charge on a capacitor is increased by $2 \ C$,the energy stored in it increases by $44 \%$. The original charge on the capacitor is (in $C$):
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo