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SERPSE$1025.$A$.$OP$\mathrm{.}026.$

$($a$)$ Two capacitors, $C_1=5\mathrm{.}74F$ and $C_2=3\mathrm{.}26F,$ are connected in parallel, then the combination is connected to a $250$ V battery. When the capacitors are charged, each one is removed from the circuit. Next, the two charged capacitors are connected to each other so that the positive plate of one capacitor is connected to the negative plate of the other capacitor. What is the resulting charge on each capacitor $($in $C)?$

$q_1^{\text{'}}=,|vvC||$

$q_2^{\text{'}}=,1vvC$

$($b$)$ What If$?$ What is the resulting charge on each capacitor $($in $C)$ if they are instead charged as a series combination and then connected positive plate to positive plate and negative plate to negative plate?

$q_1^{\text{'}}=x$

Note that when the two capacitors are connected again in the new configuration, the total charge redistributes itself so that the voltages across the capacitors are equal. $C$

$q_2^{\text{'}}=$

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Note that when the two capacitors are connected again in the new configuration, the total charge redistributes itself so that the voltages across the capacitors are equal. $C$

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