All of the following statements regarding a charged conductor are true except: A) the direction of the electric field is perpendicular to the surface B) the surface charge density is large on a surface of small curvature C) the direction of the electric field inside the conductor depends on the sign of the charge D) the electric field around the conductor near the surface may be different at different points E) the work done in moving the charge from the surface to a point inside the conductor is always zero

All of the following statements regarding a charged conductor are true except: A) the direction of the electric field is perpendicular to the surface B) the surface charge density is large on a surface of small curvature C) the direction of the electric field inside the conductor depends on the sign of the charge D) the electric field around the conductor near the surface may be different at different points E) the work done in moving the charge from the surface to a point inside the conductor is always zero