The discussion centers on the application of the Maxwell equation, specifically the relationship involving the curl of the magnetic field \(\vec{B}\) and its time derivative. It establishes that the equation \(\text{curl}(-\frac{\partial \vec{B}}{\partial t}) = -\frac{\partial}{\partial t}\text{curl}\vec{B}\) holds true under the condition that all second partial derivatives of the field are continuous functions. This highlights the importance of continuity in the context of commuting time and spatial derivatives in electromagnetic theory.
PREREQUISITESPhysicists, electrical engineers, and students studying electromagnetism who seek to deepen their understanding of Maxwell's equations and their applications in electromagnetic fields.