The magnetic flux through a metal ring varies with time t according to ΦB = 10 at^3 − 5 bt^2, where Φ is in webers, a = 6.00 s^ −3, b = 18.0 s^ -2, and t is in seconds. The resistance of the ring is 5.00 Ω. For the interval from t = 0 to t = 2.00 s, determine the maximum current induced in the ring.