The typical magnetic field at the surface of the earth at the equator is 0.3 Gauss (1 gauss = 10-4T). Assuming that the magnetism arises from a magnetic dipole located at the earths core, estimate the magnitude of the dipole moment. (look up the relevant constants). Assuming that the earths core has a density of 5000 Kg/m3, core radius of 106m and charge density of 1C/m3 and modeling the core as a solid sphere what is the angular velocity of the core? Does the number make sense?