A long solenoid of diameter 0. 1 m has2×104 turns per metre. At the center of the solenoid, a 100-turn coil of radius 0.01 m is placed with its axis coinciding with the solenoid axis. The current in the solenoid is decreased at a constant rate from + 2 A to -2A in 0.05 s. Find the total charge  (in μC) flowing through the coil during this time when the resistance of the coil is 40π2Ω.