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2.2.3 No-mass and no-geometry:essential attributes of electromagnetic field

    Though being one of forms of material existences,electromagnetic field greatly differs fromlots of other material existence forms. Or,there are two most crucial attributes belonging to theelectromagnetic field. One is that electromagnetic field is not of ...[繼續閱讀]

電磁學

2.3.1 Introduction of the classical expressed electric field E

    According to the classical theorem or lots of related empirical facts,if much exactlyspeaking,any electromagnetic action present between different charged sets can only be realizedthrough a field or a special medium that is full over all the space. Then,e...[繼續閱讀]

電磁學

2.3.2 Curl and divergence of E

    From the above-made formal definition,it is easy to logically reveal two basic mathematicattributes of the vector field distribution E(x).First,it might be convenient to suppose two tensor differential identities. Supposed,ageneral vector distance functio...[繼續閱讀]

電磁學

2.4.1 Logic reexamination on vector field E

    Reviewing the whole process to infer the vector field E(x) shown in(2.3.6)from anempirical mechanical formula (2.3.3),which shows the force F acted on a charged particle atposition x by another charged particle elsewhere,we can reasonably predicate both o...[繼續閱讀]

電磁學

2.4.2 Reintroduction of scalar potential

    First,it might be better for us to reconsider another deduced formal expression about theE,which is ever shown in (2. 3.9) and only keeping identical value with the initiallyconstructed definition(2. 3.4) or (2. 3.5) in a kind of pure formal or mathematic...[繼續閱讀]

電磁學

2.4.3 An acceptable interpretation on scalar potential

    Incontestably,the physical meaning of scalar potential φ(x) would be much more abstractand obscure than the directly measured E(x). Nevertheless,it might be possible for us to stillget some beneficial inspiration from the quantity dimension analysis.In ma...[繼續閱讀]

電磁學

2.5.1 The exact clarity on a complete mathematic physical model

    From the viewpoint of formal logic,a complete mathematic physical model would match tothe existence of a solved and single valued mapping. Restricted with the electrostaticsproposition discussed here,while arbitrarily given a certain charge source,the pro...[繼續閱讀]

電磁學

2.5.2 Certification of proper governing differential equation

    Now,let us first consider how to reasonably construct governing differential equations thatcan be used in a proper boundary value problem of electrostatics. Obviously,according to theproperly presupposed mathematic physical model(2.5.2),it is impossible t...[繼續閱讀]

電磁學

2.5.3 Integral expression of Poisson’s equation

    Without doubt,the proposition how to reasonably supply Poisson’s equation with properboundary conditions must be too grown-up and simple for us to be worthy of further spendingpapers to make restudy. Nonetheless,only for maybe remaindering searchers to pa...[繼續閱讀]

電磁學

2.5.4 Introduction of proper boundary conditions

    According to the boundary integral equation (2.5.7),provided one of both the boundaryconditions shown as followingor their linear combination presupposed,the boundary integral equation must be solvable. Or,in this case,both the Poisson’s equation and a pr...[繼續閱讀]

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