The field of a magnetic dipole located at the origin and oriented in the 2 direction can be written as: b hom (2 cos 0f + sin 00), where m is the magnitude of the magnetic dipole 4r3 moment a) calculate the flux of the magnetic field through 2 direction, located at z = a b) calculate the flux of the magnetic field through a square of side length 2a oriented in the direction, located at x = a. a square of side length 2a oriented in the c) calculate the flux of the magnetic field through -2 direction, located at z = -a. d) use your results from (a), (b) and (c) and symmetry arguments to show that the total magnetic flux through a cube of side length 2a is zero. convert to cartesian first, then solve using integrals