$30\mathrm{.}35$ L$-$C Oscillations. A capacitor with capacitance $6\mathrm{.}0010-$$ F is charged by connecting it to a $12\mathrm{.}0$ V battery. The capacitor is disconnected from the battery and connected across an inductor with

L $=1\mathrm{.}50$ H$.($a$)$ What are the angular frequency a of the electrical oscillations and the period of these oscillations $($the time for one oscil$-$lation$)?($b$)$ What is the initial charge on the capacitor? $($c$)$ How much energy is initially stored in the capacitor? $($d$)$ What is the charge on the capacitor $0\mathrm{.}0230$s after the connection to the inductor is made?

Interpret the sign of your answer. $($e$)$ At the time given in part $($d$),$ what is the current in the inductor? Interpret the sign of your answer. $($f$)$ At the time given in part $($d$),$ how much electrical energy is stored in the capacitor and how much is stored in the inductor?