(D) The energy stored in a capacitor is given by the formula $U = \frac{1}{2} C V^2$.Given:Capacitance $C = 2 \times 10^{-4} \, \mu F = 2 \times 10^{-

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(D) The energy stored in a capacitor is given by the formula $U = \frac{1}{2} C V^2$.Given:Capacitance $C = 2 \times 10^{-4} \, \mu F = 2 \times 10^{-4} \times 10^{-6} \, F = 2 \times 10^{-10} \, F$.Potential $V = 20 \, kV = 20 \times 10^3 \, V = 2 \times 10^4 \, V$.Substituting the values into the formula:$U = \frac{1}{2} \times (2 \times 10^{-10}) \times (2 \times 10^4)^2$$U = 10^{-10} \times (4 \times 10^8)$$U = 4 \times 10^{-2} \, J$.

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

Easy

$A$ parallel plate capacitor has a potential of $20 \, kV$ and a capacitance of $2 \times 10^{-4} \, \mu F$. If the area of the plates is $0.01 \, m^2$ and the distance between the plates is $2 \, mm$,find the energy stored in the capacitor.

A
$4 \times 10^{-7} \, J$
B
$2 \times 10^{-5} \, J$
C
$5 \times 10^{-5} \, J$
D
$4 \times 10^{-2} \, J$

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Class 12

Physics Questions

Chapter

Electric Potential and Capacitance

Subtopic

Energy Stored in a Capacitor

What is energy density? Write its formula.

Medium

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When a parallel plate capacitor is fully charged by a battery,the potential difference between the two plates becomes equal to the electromotive force $(EMF)$ of the battery. What is the ratio of the energy stored in the capacitor to the work done by the battery?

Medium

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$A$ capacitor of capacity $50\,\mu F$ is charged to $10\;V$. Its energy is equal to:

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The energy required to charge a capacitor of $5\,\mu F$ by connecting a $d.c.$ source of $20\,kV$ is......$kJ$.

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$A$ capacitor of capacitance $6 \, \mu F$ is charged up to $100 \, V$. The energy stored in the capacitor is ........ $J$.

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$A$ parallel plate capacitor has a potential of $20 \, kV$ and a capacitance of $2 \times 10^{-4} \, \mu F$. If the area of the plates is $0.01 \, m^2$ and the distance between the plates is $2 \, mm$,find the energy stored in the capacitor.

Similar Questions

What is energy density? Write its formula.

When a parallel plate capacitor is fully charged by a battery,the potential difference between the two plates becomes equal to the electromotive force $(EMF)$ of the battery. What is the ratio of the energy stored in the capacitor to the work done by the battery?

$A$ capacitor of capacity $50\,\mu F$ is charged to $10\;V$. Its energy is equal to:

The energy required to charge a capacitor of $5\,\mu F$ by connecting a $d.c.$ source of $20\,kV$ is......$kJ$.

$A$ capacitor of capacitance $6 \, \mu F$ is charged up to $100 \, V$. The energy stored in the capacitor is ........ $J$.

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