In an oscillating LCLCLC circuit, L$=3\mathrm{.}48$mHL $=3\mathrm{.}48\backslash ,\backslash$text$\{$mH$\}$L$=3\mathrm{.}48$mH and C$=2\mathrm{.}30$FC $=2\mathrm{.}30\backslash ,\backslash$mu$\backslash$text$\{$F$\}$C$=2\mathrm{.}30$F$.$ At t$=0$t $=0$t$=0,$ the charge on the capacitor is zero, and the current is $2\mathrm{.}75$A$2\mathrm{.}75\backslash ,\backslash$text$\{$A$\}2\mathrm{.}75$A$.$

$($a$)$ What is the maximum charge that will appear on the capacitor?

$($b$)$ At what earliest time t$>0$t $>0$t$>0$ is the rate at which energy is stored in the capacitor greatest?

$($c$)$ What is that greatest rate?