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File:Surface integral - definition.svg

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Summary

Description
English: Diagram illustrating how a surface integral of a vector field over a surface is defined. It shows an arbitrary surface S with a vector field F, (red arrows) passing through it. The surface is divided into small (infinitesimal) regions dS. The surface integral is the sum of the perpendicular component of the field passing through each region multiplied by the area dS. The perpendicular component of the field is equal to the dot product of the field F(x) with the unit normal vector n(x) at the point dS:
Date
Source Own work
Author Chetvorno
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Captions

Diagram illustrating a surface integral of a vector field

30 September 2019

File history

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Date/TimeThumbnailDimensionsUserComment
current00:20, 26 July 2023Thumbnail for version as of 00:20, 26 July 2023814 × 368 (115 KB)ChetvornoModified SVG markup by hand so it passes W3C validator
10:48, 6 October 2019Thumbnail for version as of 10:48, 6 October 2019814 × 368 (116 KB)ChetvornoCorrected surface boundary line width issue
10:40, 6 October 2019Thumbnail for version as of 10:40, 6 October 2019814 × 368 (118 KB)ChetvornoImproved surface gridlines, made vectors longer, saved in plain SVG format
23:15, 30 September 2019Thumbnail for version as of 23:15, 30 September 2019774 × 370 (128 KB)ChetvornoReduced boundary line width
23:08, 30 September 2019Thumbnail for version as of 23:08, 30 September 2019774 × 370 (128 KB)ChetvornoRemoved empty space at edges, uploaded in Inkscape SVG format
22:35, 30 September 2019Thumbnail for version as of 22:35, 30 September 2019744 × 1,052 (121 KB)ChetvornoUser created page with UploadWizard

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