It gives the facility to convert surface integral into its equivalent volume integral.
Statement:- It states that the surface integral of a normal component of any vector function on a closed surface is equal to the volume integral of the divergence of vector function.
Proof:- The total charge enclosed by volume ?V is given by
........(3)
........(4)
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Statement:- It states that the surface integral of a normal component of any vector function on a closed surface is equal to the volume integral of the divergence of vector function.
Proof:- The total charge enclosed by volume ?V is given by
........(1)
The total outward flux coming out from the volume is ?V equal to the charge enclosed.?? = ?Q = charge density x volume
?? = ?Q =?v?V = ?v?x?y?z.......(2)
From equation (1) and (2)........(3)The divergence of D is given by
........(4)From (3) and (4)
According to Gauss's Law
? = Q
Mr. Muhammad Saqib, M.Sc. (PAK), Research Fellow (PAK), a member of IEEE, is a Fulbright Alumnus and earned his Master’s Degree in Electrical and Power Engineering from University Of Engineering And Technology Taxila, PAKISTAN.
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