(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

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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.

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

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Electric Potential and Capacitance

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Energy Stored in a Capacitor

When an uncharged capacitor is connected to a battery to charge it fully,

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In a defibrillator,a $40\ \mu F$ capacitor is charged to $3000\ V$. If the stored energy of the capacitor is discharged through the patient during a pulse of duration $2\ ms$,what is the power delivered to the patient in $kW$?

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If $n$ capacitors are connected in parallel with a source of $V$ volts,the stored energy is equal to ........

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If $W$ amount of work is required to increase the voltage of a capacitor from $5\ V$ to $10\ V$,how much work is required to increase the voltage from $10\ V$ to $15\ V$ (in $W$)?

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

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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.

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When an uncharged capacitor is connected to a battery to charge it fully,

In a defibrillator,a $40\ \mu F$ capacitor is charged to $3000\ V$. If the stored energy of the capacitor is discharged through the patient during a pulse of duration $2\ ms$,what is the power delivered to the patient in $kW$?

If $n$ capacitors are connected in parallel with a source of $V$ volts,the stored energy is equal to ........

If $W$ amount of work is required to increase the voltage of a capacitor from $5\ V$ to $10\ V$,how much work is required to increase the voltage from $10\ V$ to $15\ V$ (in $W$)?

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

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