The article discusses the dielectric after-effect, a phenomenon observed in various materials when subjected to an electric field. The author, Karl Willy Wagner, begins by explaining the dielectric after-effect using Maxwell's principles, which do not rely on molecular theories. He derives mathematical relationships that describe the after-effect, showing how it can be calculated for different types of materials and fields. Wagner then presents a model of a capacitor with dielectric after-effect, composed of a non-conductive substrate with small conducting spheres. This model demonstrates that the after-effect can be explained without assuming molecular structures, and it shows that the behavior is consistent with general theoretical predictions. The article further explores the distribution of time constants in the model, suggesting that they cluster around a specific value, which is influenced by the type of conducting material present. Wagner also discusses the impact of temperature on the after-effect, noting that the characteristic time constant decreases with increasing temperature, while the distribution of time constants remains relatively stable. Finally, Wagner concludes that the dielectric after-effect can be understood within Maxwell's framework without invoking molecular processes, and that the model can predict the behavior of materials under various conditions. He emphasizes the importance of practical considerations and experimental verification in understanding and applying these phenomena.The article discusses the dielectric after-effect, a phenomenon observed in various materials when subjected to an electric field. The author, Karl Willy Wagner, begins by explaining the dielectric after-effect using Maxwell's principles, which do not rely on molecular theories. He derives mathematical relationships that describe the after-effect, showing how it can be calculated for different types of materials and fields. Wagner then presents a model of a capacitor with dielectric after-effect, composed of a non-conductive substrate with small conducting spheres. This model demonstrates that the after-effect can be explained without assuming molecular structures, and it shows that the behavior is consistent with general theoretical predictions. The article further explores the distribution of time constants in the model, suggesting that they cluster around a specific value, which is influenced by the type of conducting material present. Wagner also discusses the impact of temperature on the after-effect, noting that the characteristic time constant decreases with increasing temperature, while the distribution of time constants remains relatively stable. Finally, Wagner concludes that the dielectric after-effect can be understood within Maxwell's framework without invoking molecular processes, and that the model can predict the behavior of materials under various conditions. He emphasizes the importance of practical considerations and experimental verification in understanding and applying these phenomena.