Philosophical Transactions of the Royal Society of London Series A Mathematical and Physical Sciences · 1971 · 31 citations · 0 references
Natural SciencesElectrical EngineeringPhysicsDifferential EquationsElectrochemistryElectromagnetismCharge Carrier TransportCurrent DistributionCurrent-voltage CharacteristicsDielectric PropertiesDielectricsElectric CircuitsCapacitor DynamicsDiffusion EffectsParallel-plate CapacitorsPotential DifferencePotential DistributionSpace Charge DistributionSpace-charge DynamicsSpace-charge Effects
Abstract A general relation is derived which describes the spatio-temporal behaviour of space charge in an ideal dielectric medium. (Diffusion effects are neglected.) This result is used to determine the behaviour of a parallel plate capacitor which contains space charges near its electrodes. Expressions are derived for the variation with time of the potential difference between the plates following the removal of an applied voltage and for the external current which flows when the plates are connected together. Symmetrical and asymmetrical charge distributions are considered.