Question $8$: The switch in the circuit shown in the figure is opened at time $t=0,$ after having stayed for a long time

a$)$ What is the current in the inductor at time $t^{+}=0^{+}($immediately after the switch is opened$)?$

b$)$ What is the potential difference across the capacitor at time $t^{+}=0^{+}?$

c$)$ What is the highest value that the potential difference across the capacitor will take for $t>0?$