In this slide Given the theory of Divergence Theorem & Maxwell’s First Equation , example etc..

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

5.  Spherical 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..