A series circuit includes a switch, a 3 V battery, 2 resistors of 1kohm followed by an inductor. The inductor has 150 loops of wire wound around a 2.5cm diameter tube 1cm in length.

(a) Determine the inductance of this winding.

(b) Determine the time constant for the circuit.

(c) How long after the switch is closed with the current reach 50% it maximum value