Dynamic interpretation of Maxwell’s equations
Harry Soodak, Martin S. Tiersten
Abstract
Harry Soodak, Martin S. Tiersten
Abstract
Conventional discussions of Maxwell’s equations in free space have for many years taken a historical approach starting with electrostatics and magnetostatics, and have taught us that the sources of E are electric charge and Ḃ, and the sources of B are electric current and Ė. However, a direct dynamic reading of Maxwell’s differential equations leads unquestionably to the surprisingly different conclusions that the sources of E are electric current and curl B, and the single source of B is curl E. In this dynamic reading of Maxwell’s equations, electric field is generated locally by electric current, and fields propagate away from the current source by the dual mechanisms of curl E generating B locally and curl B generating E locally.
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Conventional discussions of Maxwell’s equations in free space have for many years taken a historical approach starting with electrostatics and magnetostatics, and have taught us that the sources of E are electric charge and Ḃ, and the sources of B are electric current and Ė. However, a direct dynamic reading of Maxwell’s differential equations leads unquestionably to the surprisingly different conclusions that the sources of E are electric current and curl B, and the single source of B is curl E. In this dynamic reading of Maxwell’s equations, electric field is generated locally by electric current, and fields propagate away from the current source by the dual mechanisms of curl E generating B locally and curl B generating E locally.
Key concepts: Curl (programming language), Maxwell's equations, Physics, Electric field, Electrostatics, Classical mechanics, Inhomogeneous electromagnetic wave equation, Electric current