5. An uncharged metal sphere of radius R is placed in an otherwise uniform electric
filed . The field will push positive charge to the northern (i.e., z> 0)
surface of the sphere, leaving a negative charge on the southern surface.
(A) The potential at r→∞ is 0.
(B) The potential when r >> R (the radius of the sphere) is -E0rcosθ.
(C) The potential inside the sphere is E0rcosθ.
(D) The potential on the surface of the sphere is E0Rcosθ.
(E) The induced charge density is -3E0E0cosθ.