(C) The energy stored in a capacitor is given by the formula $W = \frac{Q^2}{2C}$.When the charge is increased to $2Q$,the new energy $W'$ becomes:$W'

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(C) The energy stored in a capacitor is given by the formula $W = \frac{Q^2}{2C}$.When the charge is increased to $2Q$,the new energy $W'$ becomes:$W' = \frac{(2Q)^2}{2C} = \frac{4Q^2}{2C}$.Since $W = \frac{Q^2}{2C}$,we can substitute this into the equation:$W' = 4 \times \left( \frac{Q^2}{2C} \right) = 4W$.Therefore,the stored energy becomes $4W$.

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

Easy

$A$ capacitor of capacity $C$ has charge $Q$ and stored energy is $W$. If the charge is increased to $2Q$,the stored energy will be

A
$2W$
B
$W/2$
C
$4W$
D
$W/4$

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Class 12

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Chapter

Electric Potential and Capacitance

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Energy Stored in a Capacitor

Energy per unit volume for a capacitor having area $A$ and separation $d$ kept at potential difference $V$ is given by

MediumAIPMT 2001

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The charge $q$ on a capacitor varies with voltage $V$ as shown in the figure. The area of the triangle $AOB$ represents:

Easy

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The work done in placing a charge of $8 \times 10^{-18} \, C$ on a condenser of capacity $100 \, \mu F$ is:

EasyAIEEE 2003

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If the charge on a capacitor is increased by $2 \ C$, the energy stored in it increases by $21 \%$. The original charge on the capacitor is (in $C$)

DifficultWBJEE 2009

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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 $C$):

MediumJEE MAIN 2022

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$A$ capacitor of capacity $C$ has charge $Q$ and stored energy is $W$. If the charge is increased to $2Q$,the stored energy will be

Similar Questions

Energy per unit volume for a capacitor having area $A$ and separation $d$ kept at potential difference $V$ is given by

The charge $q$ on a capacitor varies with voltage $V$ as shown in the figure. The area of the triangle $AOB$ represents:

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If the charge on a capacitor is increased by $2 \ C$, the energy stored in it increases by $21 \%$. The original charge on the capacitor is (in $C$)

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