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VECTOR ANALYSIS OF ELECTROMAGNETIC FIELDS AND WAVES USING, GREEN’S THEOREM FOR POISSON’S AND LAPLACE, S EQUATIONS, STOKE’S THEOREM, MAXWELL EQUATION AND LAURENT’S FORCE LAW.
Engr. Dr. C. I. Obinwa*
Vector analysis, having been acquainted with gradient of scalar fields, divergence of vector fields, curl of vector fields, line integral, surface integral and volume integral of vector fields with applications of Gauss? theorem, here , the work emphasizes on Green?s theoremwith different approach to Gauss divergence theorem, where for instance, if , then integral around a closed path is zero, meaning, the work done is zero and the force field is conservative. Application of Green theorem on Poisson?s equation, where scalar point function vanishes outside a finite region. It also shows that, for Laplace equation where, , which is a scalar point function for every point of the region,is said to be HARMONIC in that region. Maxwell?s equation is fully analysed. Stoke?s theorem and its tangential line integral of vector field over any closed surface over any closed surface S bounded by a curve and which is equivalent to normal surface integral of curl of the vector field over the surface. Also Laurent?s force law analyses force field through concentric circles.[Full Text Article]