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  • A parallel plate capacitor has a uniform electric field in the space between the plates.if the distance betwwen the plates is 'd' and

A parallel plate capacitor has a uniform electric field \vec{E} in the space between the plates.if the distance betwwen the plates is 'd' and the area of each plate 'A' the energy stored in the capacitor is :(\epsilon _{0}=permittivity of free space )

Option: 1

\frac{1}{2}\epsilon _{0}E^{2}


Option: 2

\epsilon _{0}EAd


Option: 3

\frac{1}{2}\epsilon _{0}E^{2}Ad


Option: 4

\frac{E^{2}Ad}{\epsilon _{0}}


Answers (1)

best_answer

Energy stored in the capacitor =\frac{1}{2}Cv^{2}

v=E d \quad C=\frac{A \epsilon _{0}}{d}

=\frac{1}{2} \times \frac{A \varepsilon_{0}}{d} \times E^{2} d^{2}

=\frac{1}{2} \epsilon _{0} E^{2} A d

   

Posted by

Gautam harsolia

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