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What-is-the-difference-between-and-Where-is-used-




Question Number 20058 by Tinkutara last updated on 21/Aug/17
What is the difference between ∮ and  ∫? Where is ∮ used?
Whatisthedifferencebetweenand?Whereisused?
Answered by dioph last updated on 21/Aug/17
∮ indicates the integral is calculated  in  closed path. For instance, for  a conservative field A, ∮A ds = 0.  Works for any n−dimensional  closed surface as well. Gauss′ law  for electrostatics states that  ∮ D dS = Q, which means that  the integral of the electric field density  through any closed surface equals  the charge encapsulated by the same  surface. Hope that helps
indicatestheintegraliscalculatedinclosedpath.Forinstance,foraconservativefieldA,Ads=0.Worksforanyndimensionalclosedsurfaceaswell.GausslawforelectrostaticsstatesthatDdS=Q,whichmeansthattheintegraloftheelectricfielddensitythroughanyclosedsurfaceequalsthechargeencapsulatedbythesamesurface.Hopethathelps
Commented by Tinkutara last updated on 21/Aug/17
Thank you very much Sir!
ThankyouverymuchSir!

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