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Question

A fully charged capacitors 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 capacitor is :


A
2mCΔTs
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B
mCΔTs
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C
msΔTC
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D
2msΔTC
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Solution

The correct option is B $$\displaystyle \sqrt {\frac{2ms\Delta T}{C} }$$
By conservation of energy, the stored energy in capacitor will transfer into heat energy during discharging. Thus, $$\displaystyle \frac{1}{2}CV^2=ms\Delta T \Rightarrow V=\sqrt{\frac{2ms\Delta T}{C}}$$

Physics

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