(D) The energy stored in a capacitor is given by the formula $U = \frac{1}{2} C V^2$. Substituting the given values: $C = 200 \, \mu F = 200 \times 10

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$4 \, J$ and $4 \, J$ respectively

(D) The energy stored in a capacitor is given by the formula $U = \frac{1}{2} C V^2$. Substituting the given values: $C = 200 \, \mu F = 200 \times 10^{-6} \, F$ and $V = 200 \, V$. $U = \frac{1}{2} \times (200 \times 10^{-6}) \times (200)^2 = 100 \times 10^{-6} \times 40000 = 4 \, J$. When a capacitor discharges through a resistor, the entire stored energy is dissipated as heat in the resistor, regardless of the resistance value. Therefore, the heat generated in both cases is $4 \, J$.

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

Medium

The heat generated through $2 \, \Omega$ and $8 \, \Omega$ resistances separately, when a capacitor of $200 \, \mu F$ capacity charged to $200 \, V$ is discharged one by one, will be

A
$4 \, J$ and $16 \, J$ respectively
B
$16 \, J$ and $4 \, J$ respectively
C
$4 \, J$ and $8 \, J$ respectively
D
$4 \, J$ and $4 \, J$ respectively

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Electric Potential and Capacitance

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Energy Stored in a Capacitor

The energy stored in a capacitor of capacitance $C$ charged to a potential $V$ is:

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$A$ fully charged capacitor has a capacitance $C$. It is discharged through a small coil of resistance wire,embedded in a block of specific heat $s$ and mass $m$ under thermally isolated conditions. If the temperature of the block is raised by $\Delta T$,the potential difference $V$ across the capacitor initially is

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$A$ $4\, \mu F$ capacitor is charged to $400\, V$ and then its plates are connected through a resistance. The heat produced in the resistance is ....... $J$.

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$A$ $40 \, \mu F$ capacitor in a defibrillator is charged to $3000 \, V$. The energy stored in the capacitor is sent through the patient during a pulse of duration $2 \, ms$. The power delivered to the patient is ...... $kW$.

MediumAIIMS 2004

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$A$ capacitor of $6 \ \mu F$ is charged from $10 \ V$ to $20 \ V$. The increase in its stored energy is:

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The heat generated through $2 \, \Omega$ and $8 \, \Omega$ resistances separately, when a capacitor of $200 \, \mu F$ capacity charged to $200 \, V$ is discharged one by one, will be

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The energy stored in a capacitor of capacitance $C$ charged to a potential $V$ is:

$A$ $4\, \mu F$ capacitor is charged to $400\, V$ and then its plates are connected through a resistance. The heat produced in the resistance is ....... $J$.

$A$ $40 \, \mu F$ capacitor in a defibrillator is charged to $3000 \, V$. The energy stored in the capacitor is sent through the patient during a pulse of duration $2 \, ms$. The power delivered to the patient is ...... $kW$.

$A$ capacitor of $6 \ \mu F$ is charged from $10 \ V$ to $20 \ V$. The increase in its stored energy is:

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