Divergence Theorem & Maxwell’s First Equation
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This document discusses divergence of vector fields and Maxwell's first equation. It defines divergence as the net outward flux of a vector field per unit volume as the volume approaches zero. It also discusses the integral and differential forms of Gauss' law, which state that the electric flux through a closed surface is equal to the total enclosed charge. Examples are given of calculating the divergence of D, the electric flux density vector, for simple charge configurations like a point charge and uniform line charge.
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Divergence Theorem & Maxwell’s First Equation
- 1. Name :- Smit Shah -140410109096 S.Y electrical 2 Sem 4 Subject:-FT Topic :-
- 2. Divergence of a vector The divergence of vector field A at a point is the net outward flux of A per unit volume as the volume about the point to zero.
- 3. Integral form of divergence It state that the volume integral of the vector field A is equal to the surface integral of a taken over enclosing surface.
- 4. The expression for div D in three co-ordinate system.. Cartesian coordinates Cylindrical coordinates
- 6. Maxwell’s First Equation Maxwell’s first equation is based on Gauss’ law of electrostatics published in 1832, wherein Gauss established the relationship between static electric charges and their accompanying static fields.
- 7. Gauss law.. The total electric flux crossing the closed surface is equal to the total charge enclosed by that path..
- 8. The above integral equation states that the electric flux through a closed surface area is equal to the total charge enclosed. The differential form of the equation states that the divergence or outward flow of electric flux from a point is equal to the volume charge density at that point.
- 9. Divergence of D due to some simple charge Configuration…
- 10. (A) Divergence of D due to point charge..
- 13. (B) Divergence of D due to Uniform Line Charge.. Consider a uniform line charge with density is placed along z- axis. The flux density D due to this charge at a distance p from line charge is..