A parallel plate capacitor has a uniform electric field E in the … - Vidyadip

MCQ

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 area of each plate is $A,$ the energy stored in the capacitor is

A
${\varepsilon _0}EAd$
B
$\;\frac{1}{2}{\varepsilon _0}\frac{{{E^2}}}{{Ad}}$
✓
$\;\frac{1}{2}\;{\varepsilon _0}{E^2}Ad$
D
$\;{\varepsilon _0}\frac{{{E^2}}}{{Ad}}$

✓

Answer

Correct option: C.

$\;\frac{1}{2}\;{\varepsilon _0}{E^2}Ad$

c
Potential difference the between plates

$V=Ed$

Parallel Plate Capacitor -

$C=\frac{\varepsilon_0A}{d}$

Energy

$U=\frac{1}{2}CV^2$

$U=\frac{1}{2}\;{\varepsilon _0}{E^2}Ad$

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