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Name :- Smit Shah -140410109096
S.Y electrical 2 Sem 4
Subject:-FT
Topic :-
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.

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.
The expression for div D in three
co-ordinate system..
 Cartesian coordinates
 Cylindrical coordinates
 Spherical coordinates
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.
Gauss law..
 The total electric flux crossing the closed surface is
equal to the total charge enclosed by that path..
 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.
Divergence of D due to
some simple charge
Configuration…
(A) Divergence of D due to point
charge..
(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..
Divergence  Theorem & Maxwell’s  First Equation
Divergence  Theorem & Maxwell’s  First Equation

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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..
  • 11.
  • 12.
  • 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..