3) (10 points) Consider a dipolar magnetic field (B = VX A) with the vector potential field: m Xr A = (3) 72 where m = f (r) z, r = r/r, where r = xx + yy + zz andr = Vx2+ 2 + z2. a) (2 points) Does this field satisfy the Coulomb gauge where V . A = 0? b) (4 points) Find the current J = Vx B. c) (4 points) Find the Lorentz force that would apply to the vorticity form of the Navier-Stokes equation VXF = VX Hop 1 J X B , where p is spatially varying and Mo is a constant