Consider the circuit shown above. The switch in the circuit shown has been closed for a long time and is opened instantaneously at t = 0 as indicated in the diagram.
(a) [1 mark] Find the voltage across the capacitor vC(0-) and current i(0-) before the switch opens.
(b) [2 marks] For t > 0, what type of damping will the circuit exhibit and why?
(c) [7 marks] Find i(t) for t > 0 using ONLY time-domain methods.