Changes

Jump to navigation Jump to search

Divergence Theorem (view source)

Revision as of 18:48, December 26, 2009

222 bytes added ,  18:48, December 26, 2009
only Conservapedia explains math concepts well. This theorem: the overall net flux through a closed surface equals the sum of all the changes in flux throughout the volume enclosed by the surface
Line 1: Line 1: −
The '''divergence theorem''' establishes the volume integral (triple integral) of a function over a three-dimensional shape ''equals'' the double integral of the same function over the two-dimensional surface that encloses the space.   
+
The '''divergence theorem''' establishes the volume integral (triple integral) of the derivative (divergence) of a vector function over a three-dimensional shape ''equals'' the double integral of the perpendicular component of same function with respect to a two-dimensional surface that encloses the space.   
 +
 
 +
Simply put, the overall net flux through a closed surface equals the sum of all the changes in flux throughout the volume enclosed by the surface.
    
For example, the volume integral of the electric field caused by a charge within an electric sphere equals the surface integral of that same field.
 
For example, the volume integral of the electric field caused by a charge within an electric sphere equals the surface integral of that same field.
Aschlafly
Anthony, Irenaeus, Siteadmin, apieditor, Bureaucrats, Check users, nsAm_Govt_101RO, nsAm_Govt_101RW, nsAm_Govt_101_ta, nsJudgesRO, nsJudgesRW, nsJudges_talkRO, nsJudges_talkRW, nsTeam2RO, nsTeam2RW, nsTeam2_talkRO, nsTeam2_talkRW, oversight, Administrators
126,565

edits

Retrieved from "https://www.conservapedia.com/Special:MobileDiff/737821"

Navigation menu