The circuit shown consists of two identical capacitors each of capacitance  $C=4F$, a coil of inductance L = 2H, two ideal batteries of electromotive force  $\epsilon =1.5V$ and  $2\epsilon$ and a switch. After keeping the switch open for long time, it is closed. Find maximum current through the coil after switching operation. Neglect loss of energy in form of electromagnetic waves.