A capacitor with capacitance C is initially $$fully charged$$ by a battery with emf V $.$ It is then disconnected from this battery and connected to only an inductor with inductance L $($no resistance$)$ and the circuit is completed $($note that there is no external power source in this LC circuit$)4($a$)$ What is the initial charge on each of the plates of the capacitor? $($b$)$