A coil of 50 turns and area 0.010m2 has a resistance of 4Ω. It is kept perpendicular to a magnetic field that changes with time according to B=3t2+2 (SI units). Calculate the total heat produced in the coil during the time interval from t=0 to t=2s.
(a) 24J
(b) 4.5J
(c) 6J
(d) 18J