File:Surface integral - normal component of field.svg

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Original file(SVG file, nominally 303 × 222 pixels, file size: 112 KB)

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Summary

Description
English: Diagram of a vector field passing through a small rectangular portion of a surface . The surface integral or "flux" of the field through the surface is equal to the normal (perpendicular) component of the vector field through the surface, multiplied by the area . The normal component can be calculated by taking the dot product of the field with the unit normal vector at that point , so the flux through the surface is equal to

To find the surface integral of the field through a surface , this is integrated over the surface

Date
Source Own work
Author Chetvorno
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Captions

Diagram illustrating the flux of a vector field passing through a small rectangle

6 October 2019

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File history

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Date/TimeThumbnailDimensionsUserComment
current16:22, 14 October 2019Thumbnail for version as of 16:22, 14 October 2019303 × 222 (112 KB)ChetvornoTweaked length of vectors, shape of dS, placement of labels

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