Electrical Engineering ⇒ Topic : Gausss Theorem
This theorem was first expressed by a German scientist Karl Fredrich Gauss (1777-1855) and may be stated as under
The electric flux passing through a closed surface surrounding a number of charges is equal to the algebraic sum of the charges inside the closed surface.
To illustrate Gauss's theorem, consider Fig. 5.18 where charges Q1,Q2, Q3 and Q4 coulombs are placed inside a closed surface. According to Gauss, the total electric flux (Ψ) passing through this closed surface i.e
Ψ = the algebraic sum of the charges inside the closed surface i. e.
= (Q1) + (Q2) + (Q3) + (-Q4) Fig. 5.18
= Q1 + Q2 + Q3 - Q4 coulombs
The following points may be noted :
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