$4.[1/3$ Points$]$

SERCP$1118\mathrm{.}5.$OP$\mathrm{.}035.$

initially open.

$($a$)$ What is the circuit's time constant $($in seconds$)?$

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$\backslash$mathrm$\{$s$\}$

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$($b$)$ What is the maximum charge $($in $\backslash (\backslash$mu $\backslash$mathrm$\{$C$\}\backslash ))$ on the capacitor after the switch is closed?

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$($c$)$ What is the current $($in $\backslash (\backslash$mu $\backslash$mathrm$\{$A$\}\backslash ))$ through the resistor $10\mathrm{.}0$ s after the switch is closed?

$\backslash (\backslash$mu $\backslash$mathrm$\{$A$\}\backslash )$