A 100-turn circular coil of wire has a radius of 20.0 cm and carries a current of 0.400 A. The normal to the coil area points due east. A compass, when placed at the center of the coil, does not point east, but instead makes an angle of 60o north of east. Using this data, determine
(a) The magnitude of the horizontal component of the Earth’s field at that location and
(b) The magnitude of the Earth’s field at that location if it makes an angle of 55o below the horizontal.