Transcription of Chapter 2: Introduction to Electrodynamics
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Chapter 2: Introduction to Electrodynamics
Chapter 2: Introduction to Electrodynamics Maxwell s differential equations in the time domain Whereas the Lorentz force law characterizes the observable effects of electric and magnetic fields on charges, Maxwell s equations characterize the origins of those fields and their relationships to each other. The simplest representation of Maxwell s equations is in differential form, which leads directly to waves; the alternate integral form is presented in Section The differential form uses the vector del operator : x + y +z ( ) x y z where x , y , and z are defined as unit vectors in cartesian coordinates.
avoid solving problems where the electromagnetic fields and the motions of ρ are interdependent. The constitutive relations for vacuum, D =ε0 E and B =μ0 H , can be generalized to D =εE , B =μH , and J =σE for simple media. Media are discussed further in Section 2.5. Maxwell’s equations require conservation of charge.
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