In a physics laboratory experiment, a coil with 220 turns enclosing an area of 11.0 cm^2 is rotated during the time interval 4.50×10^−2 s from a position in which its plane is perpendicular to Earth's magnetic field to one in which its plane is parallel to the field. The magnitude of Earth's magnetic field at the lab location is 5.00×10^−5 T.

a. What is the total magnitude of the magnetic flux?
b. What is the magnitude of the total magnetic flux?
c. What is the magnitude of the average emf induced in the coil?