Q2/ Consider a sphere with a permanent dipole density, radius R. Let the dipole density of the sphere be P = Uz . 1. U is constant, and find its unit. Determine the bound charges density. Write down the homogeneous solutions for the electric potential inside and outside the sphere. 2. Find the particular solution for the electric potential. Find the electric field inside and outside the sphere, meaning it is sufficient to find the coefficients required for calculating the potential for the electric field. hint: First find the values of 7 present in the potential, then sum up different / cases.