ABSTRACT
One of the common methods of getting the analytical solution for a cylinder or sphere in a uniform external field is the method of separation of variables. If the object is of well-defined geometric shape such as cylinder or sphere, and if the external field is considered to be uniform in space, then the complete solution for the electric field could be obtained analytically with the help of method of separation of variables. If the size of the conducting or dielectric object is small compared to the external field region, then the electric field is modified only in the vicinity of such an object. It is important to understand how the presence of a conducting or dielectric object modifies the external field in the vicinity of the object, because any enhancement of the electric field intensity due to the conducting or dielectric object may lead to unwanted discharge or in the worst case failure of the insulation system.
