A \( 10 \mu \mathrm{F} \) capacitor is fully charged across a 12 volt battery. The capacitor is ...

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A \( 10 \mu \mathrm{F} \) capacitor is fully charged across a 12 volt battery. The capacitor is then disconnected from the battery and connected across an initially uncharged capacitor, \( C \). The voltage across each capacitor is now 3 volts. What is the unknown capacitance \( C \) (in \( \mu \Gamma \) )?
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