Question

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 was?

• A. $\sqrt{\frac{2mC\Delta T}{s}}$
• B. $\frac{mC\Delta T}{s}$
• C. $\frac{msC\Delta T}{C}$
• D. $\sqrt{\frac{2ms\Delta T}{C}}$

Answer 1

The correct option is D $\sqrt{\frac{2ms\Delta T}{C}}$

$\frac{1}{2}C{V}^2=mS\Delta T$
$V^2=\frac{2mS\Delta T}{C}$
$V=\sqrt{\frac{2ms\Delta T}{C}}$