If an impedance Z_L is connected across a voltage source V with source impedance Z_S, then for maximum power transfer, the load impedance must be equal to

(i) Determine the initial voltage $${V_c}\left( {{0^ - }} \right)$$ across the capacitor and initial current $${i_L}\left( {{0^ - }} \right)$$ through the inductor.
(ii) Find the voltage $${v_L}\left( t \right)$$ across the inductor for $$t > 0$$.