3. (18 pts) As shown in figure Q-3, a point charge +Q sits at a distance d from the center O of an uncharged solid spherical conductor (total charge 0) whose radius is R (d > R). Which of the following statements is correct? (Select all that apply.) (a) Choosing the surface of the sphere as a Gaussian surface, the total flux of the electric field due to the point charge +Q through the surface is +Q/co. (b) Gauss's law in the integral form is no more valid in the presence of the point charge +Q, as it breaks the symmetry of the system. (c) If you move around a test charge +q just outside the surface of the sphere (in other words, infinitely close to the surface of the sphere), the final potential energy of the test charge gets increased if moved closer to +Q (for example, when it gets moved closer to point A from point B). (d) The potential V at the center of the sphere O, due to all the induced charges on the sphere, is 0. (e) The potential V at the center of the sphere O, due to all the charges in this problem, is Q/(4Ted). (f) On the surface of the sphere, the divergence of the electric field V . E is negative around point A, and positive around point B. -1 R d O B D O A +0 + 1 b