1. Tardigrade
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  4. A fully charged capacitor has a capacitance C . It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity s and mass m . If the temperature of the block is raised by Δ T , the potential difference V across the capacitance is

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

NTA AbhyasNTA Abhyas 2022

Solution:

$E=\left(\frac{1}{2}\right)CV^{2}$ ...(i)
The energy stored in capacitor is lost in form of heat energy
$H=ms \, \Delta T \, $ ...(ii)
From Eqs. (i) and (ii), we have
$ms \, \Delta T=\left(\frac{1}{2}\right)CV^{2}$
$V= \, \sqrt{\frac{2 \, m s \Delta T}{C}}$