(D) The capacitance of a parallel plate capacitor is given by $C = \frac{\epsilon_0 A}{d}$.The potential difference between the plates is $V = Ed$.The

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$\frac{1}{2} \epsilon_0 E^2 Ad$

(D) The capacitance of a parallel plate capacitor is given by $C = \frac{\epsilon_0 A}{d}$.The potential difference between the plates is $V = Ed$.The energy stored in the capacitor is $U = \frac{1}{2} C V^2$.Substituting the values of $C$ and $V$:$U = \frac{1}{2} \left( \frac{\epsilon_0 A}{d} \right) (Ed)^2$.$U = \frac{1}{2} \left( \frac{\epsilon_0 A}{d} \right) E^2 d^2$.$U = \frac{1}{2} \epsilon_0 E^2 Ad$.

Class 12 Physics Electric Potential and Capacitance Energy Stored in a Capacitor

Medium

$A$ parallel plate capacitor has a uniform electric field $E \ (V/m)$ in the space between the plates. If the distance between the plates is $d \ (m)$ and the area of each plate is $A \ (m^2)$,then the energy (joules) stored in the capacitor is:

A
$E^2 Ad / \epsilon_0$
B
$\frac{1}{2} \epsilon_0 E^2$
C
$\epsilon_0 EAd$
D
$\frac{1}{2} \epsilon_0 E^2 Ad$

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Class 12

Physics Questions

Chapter

Electric Potential and Capacitance

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Energy Stored in a Capacitor

An uncharged capacitor is connected to a battery. While charging the capacitor,how much is the energy lost,from the energy supplied by the battery (in $\%$)?

MediumMHT CET 2022

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$A$ parallel plate air capacitor having area of each plate $A$ and the distance between the plates $d$ has a uniform electric field $E$ in the space between the plates. The energy stored in the capacitor is ($\epsilon_0$ = permittivity of free space).

MediumMHT CET 2026

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$A$ $5.0 \mu F$ capacitor is charged to a potential difference of $800 V$ and discharged through a conductor. The energy (in $J$) given to the conductor during the discharge is:

MediumAIIMS 2019

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If the potential of a capacitor having capacity of $6\,\mu F$ is increased from $10\,V$ to $20\,V$,then the increase in its energy will be:

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If the charge on a body is increased by $2 \ C$,the energy stored in it increases by $21 \%$. The original charge on the body in coulomb is:

DifficultTS EAMCET 2001

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$A$ parallel plate capacitor has a uniform electric field $E \ (V/m)$ in the space between the plates. If the distance between the plates is $d \ (m)$ and the area of each plate is $A \ (m^2)$,then the energy (joules) stored in the capacitor is:

Similar Questions

An uncharged capacitor is connected to a battery. While charging the capacitor,how much is the energy lost,from the energy supplied by the battery (in $\%$)?

$A$ parallel plate air capacitor having area of each plate $A$ and the distance between the plates $d$ has a uniform electric field $E$ in the space between the plates. The energy stored in the capacitor is ($\epsilon_0$ = permittivity of free space).

$A$ $5.0 \mu F$ capacitor is charged to a potential difference of $800 V$ and discharged through a conductor. The energy (in $J$) given to the conductor during the discharge is:

If the potential of a capacitor having capacity of $6\,\mu F$ is increased from $10\,V$ to $20\,V$,then the increase in its energy will be:

If the charge on a body is increased by $2 \ C$,the energy stored in it increases by $21 \%$. The original charge on the body in coulomb is:

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