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2. Electric Potential and Capacitance
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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
$\;\frac{1}{2}{\varepsilon _0}\frac{{{E^2}}}{{Ad}}$
C
$\;\frac{1}{2}\;{\varepsilon _0}{E^2}Ad$
D
$\;{\varepsilon _0}\frac{{{E^2}}}{{Ad}}$
(AIPMT-2008) (AIPMT-2011) (AIPMT-2012)
Solution
Potential difference the between plates
$V=Ed$
Parallel Plate Capacitor –
$C=\frac{\varepsilon_0A}{d}$
Energy
$U=\frac{1}{2}CV^2$
$U=\frac{1}{2}\;{\varepsilon _0}{E^2}Ad$
Standard 12
Physics
