give the statement of divergence theorem
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In vector calculus, the divergence theorem, also known as Gauss's theorem or Ostrogradsky's theorem, is a result that relates the flow (that is, flux) of a vector field through a surface to the behavior of the vector field inside the surface. ... In two dimensions, it is equivalent to Green'stheorem.
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The diverge theorem is also known as Gauss's theorem.Its used to convert the volume integral into surface integral.
It states that " The volume integral of the divergence of a vector field over the volume enclosed by surface S is equal to the flux of that vector field taken over that surface S.”
In the terms of math it is-
ʃʃʃV div A dv = ʃ ʃʃV (∆ .A) d v = ʃ ʃS A .ds
It states that " The volume integral of the divergence of a vector field over the volume enclosed by surface S is equal to the flux of that vector field taken over that surface S.”
In the terms of math it is-
ʃʃʃV div A dv = ʃ ʃʃV (∆ .A) d v = ʃ ʃS A .ds
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