In a physics laboratory experiment, a coil with 200 turns enclosing an area of 12 cm² is rotated in 0.040 s from a position where its plane is perpendicular to the earth's magnetic field to a position where its plane is parallel to the field. The earth's magnetic field at the lab location is 6.0 X 10^-5 T. 

(a) What is the total magnetic through the coil before it is rotated? After it is rotated? 

(b) What is the average emf induced in the coil?