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A 10 micro-farad capacitor is charged to $500 \mathrm{~V}$ and then its plates are joined together through a resistance of $10 \mathrm{ohm}$. The heat produced in the resistance is
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$1.25 \mathrm{~J}$
$U=\frac{1}{2} C V^2=\frac{1}{2} \times 10 \times 10^{-6} \times(500)^2=1.25 \mathrm{~J}$
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