97 lines
3.8 KiB
HTML
97 lines
3.8 KiB
HTML
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<!DOCTYPE html PUBLIC "-//w3c//dtd html 4.0 transitional//en">
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<html>
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<head>
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<meta http-equiv="Content-Type" content="text/html;
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charset=windows-1252">
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<meta name="GENERATOR" content="Mozilla/4.7 [en] (X11; U; OSF1 V4.0
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alpha) [Netscape]">
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<meta name="Author" content="C. L. Davis">
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<title>Electricity - Electric Field Due to Continuous Charge
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Distributions - Physics 299</title>
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</head>
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<body style="color: rgb(0, 0, 0); background-color: rgb(255, 255,
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255);" link="#0000ee" alink="#ff0000" bgcolor="#ff0000"
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text="#000000" vlink="#551a8b">
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<center>
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<h1> <img src="ULPhys1.gif" height="50" align="texttop"
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width="189"></h1>
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</center>
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<center>
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<h1>Electric Field Due Continuous Charge Distribtuions<br>
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</h1>
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</center>
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<center><img src="celticbar.gif" height="22" width="576"><br>
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<br>
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<font color="#ff0000"><i>"</i></font><font color="#ff0000"><i>
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<meta http-equiv="content-type" content="text/html;
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charset=windows-1252">
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Common sense is the collection of prejudices acquired by age
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eighteen"</i></font><br>
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Albert Einstein<br>
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</center>
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<img src="netbar.gif" height="40" align="middle" width="100%"> <br>
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<ul>
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</ul>
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<ul>
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<li>Electric charge is a property of individual particles -
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protons, electrons etc. But since these particles are
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extremely small it is often convenient to consider charge to be
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continuously distributed. <br>
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</li>
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</ul>
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<ul>
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<li>These distributions can be over a line (one dimension), an
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area (two dimensions) or a volume (three dimensions).</li>
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</ul>
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<ul>
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<li>In order to determine the electric field due to a continuous
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charge distribution we "sum" the fields due to the individual
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"elements" that comprise the distribution, by integrating over
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the line, area or volume in question. For example in the
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example below charge is distributed uniformly over the rod on
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the x axis. To determine the electric field at point P, we
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write down the expression for the field at P due to the "point"
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charge dq located at "x" as shown, then integrate over x from x
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= 0 to x = x. <br>
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</li>
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</ul>
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<div align="center"><img alt="contin charge dist"
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src="elec_continchgdist.jpg" height="244" width="272"><br>
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</div>
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<ul>
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</ul>
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<br>
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<ul>
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</ul>
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<div align="center"> </div>
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<div style="text-align: left;"><img src="netbar.gif" height="40"
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width="100%"> </div>
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<center><span style="font-size: 12pt; font-family: "Times New
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Roman";"><span style="color: rgb(255, 0, 0); font-style:
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italic;"></span></span><span style="font-size: 12pt;
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font-family: "Times New Roman";"><span style="color:
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rgb(255, 0, 0); font-style: italic;">
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<meta http-equiv="content-type" content="text/html;
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charset=windows-1252">
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</span></span><br>
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<i><font color="#ff0000">Overheard after a student failed a
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physics test miserably:
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Nuclear, Hydrogen, Atomic, My test- They can all be bombs.</font></i><br>
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<span style="font-size: 12pt; font-family: "Times New
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Roman";"><span style="color: rgb(255, 0, 0); font-style:
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italic;"></span></span> <br>
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<img src="celticbar.gif" height="22" width="576"> <br>
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<p><i>Dr. C. L. Davis</i> <br>
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<i>Physics Department</i> <br>
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<i>University of Louisville</i> <br>
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<i>email</i>: <a href="mailto:c.l.davis@louisville.edu">c.l.davis@louisville.edu</a>
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<br>
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</p>
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<p><img src="header-index.gif" height="51" width="92"> </p>
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</center>
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<p><br>
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</p>
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</body>
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</html>
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