Consider this circuit, which has C $=0\mathrm{.}50$ F and L $=0\mathrm{.}20$ H$.$ With the switch

open, the capacitor is charged up using a $3$V battery. The battery is then removed. Then,

at time t$=0,$ the switch is closed.

a$.$ Immediately before the switch is closed, what$$s the charge on the capacitor, Q$0?$

b$.$ Sketch a rough graph of current vs time $($after t$=0).$ This graph need not be

numerically accurate; I am looking for a general shape.

c$.$ When the charge on the capacitor is Q$0/2,$ what current is flowing through the

inductor?

d$.$ What is the earliest time, after t$=0,$ when the capacitor has no charge on it$?$