Electromagnetic Fields inside a Perfect Conductor

1 Problem Show that the electric field vanishes inside a perfect conductor according to " all " definitions of this concept, while the interior magnetic field vanishes only under some definitions. This problem depends on the concept of a conductor, and of a perfect conductor. The phenomenon of conduction of electricity may have been first reported by Gray in 1731 [1], who described experiments on the " conveyance " and " communication " of electricity (including evidence that people conduct electricity). In 1739, Desaguliers [3] (a coworker of Gray) coined the term " conductor, " as well as the term " insulator. " 2.1.3 Priestley In his History of Electricity, vol. II, p. 3, Priestley [4] mentioned conductors and perfect conductors, defining these by example: 1 For a historical survey of research into electricity in this era, see, for example, [2].