(A) The energy stored in the capacitor is completely converted into heat energy in the block.The energy stored in a capacitor is given by $U = \frac{1

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(A) The energy stored in the capacitor is completely converted into heat energy in the block.The energy stored in a capacitor is given by $U = \frac{1}{2}CV^2$.The heat energy absorbed by the block is given by $Q = mS\Delta T$.Equating the two energies: $\frac{1}{2}CV^2 = mS\Delta T$.Solving for the potential difference $V$: $V^2 = \frac{2mS\Delta T}{C}$.Therefore,$V = \sqrt{\frac{2mS\Delta T}{C}}$.

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

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$A$ capacitor of capacitance $C$ is fully charged. It is discharged through a small coil of negligible resistance embedded in a thermally insulated block of mass $m$ and specific heat capacity $S$. If the temperature of the block rises by $\Delta T$,find the potential difference across the capacitor.

A
$\sqrt{\frac{2mS\Delta T}{C}}$
B
$\frac{mC\Delta T}{S}$
C
$\frac{mS\Delta T}{C}$
D
$\sqrt{\frac{2mC\Delta T}{S}}$

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Class 12 Questions

Class 12

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Electric Potential and Capacitance

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Energy Stored in a Capacitor

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

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Three plates $A, B, C$ each of area $50 \, cm^2$ have a separation of $3 \, mm$ between $A$ and $B$ and $3 \, mm$ between $B$ and $C$. The energy stored when the plates are fully charged is (as shown in the figure):

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In a charged capacitor,the energy resides in:

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$A$ parallel plate capacitor is connected to a battery. The plates are pulled apart with a uniform speed. If $x$ is the separation between the plates,the time rate of change of electrostatic energy of the capacitor is proportional to

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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

DifficultTS EAMCET 2011

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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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