<?xml version="1.0" encoding="charset=iso-8859-1"?>
<!DOCTYPE html 
     PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN"
     "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd">

<html xmlns="http://www.w3.org/1999/xhtml" xml:lang="en" lang="en">

<head>
<title>8.02T - Vector Fields Visualizations - Path Integrals.</title>
<!-- MIT OCW Image Gallery Template Version 1.0: February 18, 2005 - ocw-prod-request@mit.edu -->
<meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1" />
<link href="//ocw.mit.edu/OcwWeb/style/core.css" type="text/css" rel="stylesheet" />
<link rel="home" title="Home" href="//ocw.mit.edu" />
<link rel="home" title="Up" href=http://ocw.mit.edu/OcwWeb/Physics/8-02TFall-2004/Visualizations/detail/vectorfields.htm />
<link rel="prev" href=../15-CoordinateSystems/15-coords320.html />
<link rel="next" href=../17-surfaceintegrals/17-surfaceInt320.html />



</head>
<body>

<div class="gallerybody">

<p id="gallerynav" class="bodycopy">
&lt;&lt;&lt; <a href=../15-CoordinateSystems/15-coords320.html accesskey="P" tabindex="1">PREVIOUS</a> 
- <a href=../17-surfaceintegrals/17-surfaceInt320.html accesskey="N" tabindex="3">NEXT</a> &gt;&gt;&gt;
</p>

<p>
  <object classid="clsid:166B1BCA-3F9C-11CF-8075-444553540000" codebase="http://download.macromedia.com/pub/shockwave/cabs/director/sw.cab#version=8,0,0,0" width="412" height="324">
    <param name="src" value="pathInt.dcr" />
    <param name="AutoStart" value="true" />
    <param name="swStretchStyle" value="fill" />
    <param name="swStretchHAlign" value="left" />
    <param name="swStretchVAlign" value="top" />
    <embed src="pathInt.dcr" pluginspage="http://www.macromedia.com/shockwave/download/" width="412" height="324" autostart="True" swstretchstyle="fill" swstretchhalign="left" swstretchvalign="top"> </embed>
  </object> 
  </p>

<p>SUBJECT: <i>Line Integrals</i></p>
<p>DESCRIPTION: This applet illustrates the concept of line integrals. By selecting a line type and manipulating the source charge, you can see the effect on the line integral of dot product of the field and line element for the various configurations. The blue arrows represent the direction of the line elements and the red arrows represent the electric field at that line element. The line types are circular, rectangular, and random.</p>
<p>VISUALIZATION: <a href="pathInt.htm">Fullscreen Version</a></p>
</div>
</body>
</html>
