A single-turn square loop of side L is centered on the axis of a long solenoid. Moreover, the plane of square loop is perpendicular to the axis of solenoid. The solenoid consists of 1250 turns per meter and a diameter of 6.00 cm, and carries a current of 2.50 A. Determine the magnetic flux via the loop if:
(i) L = 3.00 cm
(ii) L = 6.00 cm
(iii) L = 12.0 cm