A circular coil (500 turns, radius=.195m) is rotating in a uniform magnetic field. At t=0 s. the normal to the coil makes an angle of 10 degress with the field. At t=.010 s, the normal makes an angle of 45 degrees with the field. An average emf of magnitude .080 V is induced in the coil. Find the magnitude of the magnetic field at the location of the coil.