BRANCH : Electronics & communication Engineering SEM : 3rd BATCH : B-5 presentation by : maheta dhrati (140433111017)

TOPIC:DIVERGENCE THEORAM

DEFINATION: “The integral of the normal component of a vector function over a closed surface equals the integral of the divergence of that vector throughout the volume v enclosed by the surface s’’

Expression for divergence theorem:

The relation is called as divergence theorem or gauss’s Theorem The relation is called as divergence theorem or gauss’s Theorem. this relation is not only to for but for any vector function . The left hand side of equation is the total flux crossing the closed surface will the right hand side is the charge enclosed in the volume.The gauss’s law equation say’s the some thing .

But divergence theorem gives a method to relay surface integral with volume integral The left hand side of equation is the total flux crossing the closed surface while right hand side is the charge enclposed in the volume. The gauss law in equ. Says the same thing. Bbut divergence theorem gives a method to release surface integral with voume integral.

Expression of divergence theorem in Cartesian It’s called the expression of divergence theorem in Cartesian.

Expression of divergence theorem in cylindrical It’s called the expression of divergence theorem in cylindrical.

Expression of divergence theorem in sphirical It’s called the expression of divergence theorem in sphirical.

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