A $10\,\mu F$ capacitor is charged to a potential difference of $1000\, V$. The terminals of the charged capacitor are disconnected from the power supply and connected to the terminals of an uncharged $6\, \mu F$ capacitor. What is the final potential difference across each capacitor?......$V$
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The capacitance of system of capacitors

$C=C_{1}+C_{2}$

$=10+6=16 \mu F$

The charge stored in first capacitor

$q=C_{1} V$

$=10 \times 1000=10^{4} \mu C$

Final potential difference across each capacitor

$V^{\prime}=q / C=10^{4} / 16$

$=625$ volt

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