11. TITLE (Include Security Classification) The Potential and Electric Fields of a Conducting Sphere in the Presence of a Charged Conducting Plane 12. PERSONAL AUTHOR(S)

FIELD GROUP SUB-GROUP I Electrostatics, spherical harmonics 19, ABSTRACT (Continue on reverse if necessary and identify by block number) The solution is given to Laplace's equation for a conducting sphere above a ground plane. The solution Includes the presence of a uniform electric field perpendicular to the ground plane. The arbitrary constants in the solution are deter-mined by applying the boundary conditions on the plane and on the sphere. Formulas are given for the evaluation of the potential and electric fields at an arbitrary field point. All the resulting formulas are expressed in a style suitable for com