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Subject: =?iso-8859-1?Q?Electric_force?=
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Date: Sat, 14 Jun 2003 15:17:59 -0400
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD><TITLE>Electric forces</TITLE>
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<BODY bgColor=3D#ffe4c8><!-- Copyright 1998 by Carl Rod Nave, =
RodNave@gsu.edu--><A=20
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      <H1 align=3Dcenter>Coulomb's Law</H1>
      <H2 align=3Dcenter>Like charges repel, unlike charges =
attract.</H2>
      <P>The electric <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/force.html#defor">forc=
e</A>=20
      acting on a point <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elecur.html#c=
2">charge</A>=20
      <IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/q1.gif"=
>=20
      as a result of the presence of a second point charge <IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/q2.gif"=
>=20
      is given by Coulomb's Law:<BR>
      <CENTER><IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/coulaw.=
gif"></CENTER><BR>where=20
      <IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/epzero.=
gif">=20
      =3D <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefie.html#c=
3">permittivity</A>=20
      of space<BR><BR>
      <P>Note that this satisfies <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/newt.html#nt3">Newton'=
s=20
      third law</A> because it implies that exactly the same magnitude =
of force=20
      acts on <IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/q2.gif"=
> .=20
      Coulomb's law is a vector equation and includes the fact that the =
force=20
      acts along the line joining the charges. Like charges repel and =
unlike=20
      charges attract. Coulomb's law describes a force of infinite range =
which=20
      obeys the <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/forces/isq.html#isqe">=
inverse=20
      square law</A>, and is of the same form as the <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/grav.html#grav">gravit=
y=20
      force</A>.</P>
      <CENTER><IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/coucon.=
gif"></CENTER>
      <P></P>
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(-ff);else{fh.fb.value=3Dsnb(ff)};if(ff<0)fh.fp.value=3Dsnp(-ff);else{fh.=
fp.value=3Dsnp(ff)}}

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function snp(x){return Math.round(Math.log(x)/Math.LN10)}
<!--snb(x) returns the base of number with which to multiply the power =
of 10-->
function snb(x){return x/Math.pow(10,snp(x))}
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      <FORM action=3D"">
      <TABLE>
        <TBODY>
        <TR>
          <TD width=3D300>For<BR><IMG=20
            =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/q1.gif"=
>=3D=20
            <INPUT name=3Dq1b onchange=3Dfcal() size=3D6> x10^<INPUT =
name=3Dq1p=20
            onchange=3Dfcal() size=3D6> C<BR><IMG=20
            =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/q2.gif"=
>=3D=20
            <INPUT name=3Dq2b onchange=3Dfcal() size=3D6> x 10^<INPUT =
name=3Dq2p=20
            onchange=3Dfcal() size=3D6> C<BR>and <B><FONT =
size=3D+2>r</B></FONT> =3D=20
            <INPUT name=3Dr onchange=3Dfcal() size=3D6> =
meters,<BR><B><FONT=20
            size=3D+2>F</B></FONT>=3D <INPUT name=3Dfb onchange=3Dfcal() =
size=3D6> x=20
            10^<INPUT name=3Dfp onchange=3Dfcal() size=3D6> Newtons. =
</TD>
          <TD>A negative force implies an attractive force. The force is =

            directed along the line joining the two charges.=20
      </TD></TR></TBODY></TABLE></FORM>
      <CENTER>
      <TABLE border=3D1 cellPadding=3D2 cellSpacing=3D2>
        <TBODY>
        <TR>
          <TD><A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefor.html#c=
2">Electric=20
            force example</A></TD></TR></TBODY></TABLE></CENTER>
      <CENTER>
      <TABLE border=3D1 cellPadding=3D2 cellSpacing=3D2>
        <TBODY>
        <TR>
          <TD><A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefor.html#c=
3">More=20
            on Coulomb's =
constant</A></TD></TR></TBODY></TABLE></CENTER></TD>
    <TD align=3Dmiddle width=3D66><A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html">Index</A>=
<BR><BR><A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/forces/funfor.html#c3"=
>Electromagnetic=20
      force</A></TD></TR>
  <TR>
    <TD height=3D17>&nbsp;<A=20
      href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html">=20
      HyperPhysics</A>*****<A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/emcon.html#emcon">=20
      Electricity and Magnetism </A></TD>
    <TD><A href=3D"javascript:history.go(-1)">Go=20
Back</A></TD></TR></TBODY></TABLE><BR><BR><BR><BR><BR><A name=3Dc2></A>
<TABLE border=3D1 cellPadding=3D2 cellSpacing=3D2 height=3D370 =
width=3D580>
  <TBODY>
  <TR>
    <TD height=3D309 width=3D514>
      <H1 align=3Dcenter>Electric Force Example</H1>
      <CENTER><IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/ligb.gi=
f"></CENTER><BR>
      <P>The electric force between <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elecur.html#c=
2">charges</A>=20
      may be calculated using <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefor.html#c=
1">Coulomb's=20
      law</A>. </P></TD>
    <TD align=3Dmiddle width=3D66><A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html">Index</A>=
<BR><BR><A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/forces/funfor.html#c3"=
>Electromagnetic=20
      force</A></TD></TR>
  <TR>
    <TD height=3D17>&nbsp;<A=20
      href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html">=20
      HyperPhysics</A>*****<A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/emcon.html#emcon">=20
      Electricity and Magnetism </A></TD>
    <TD><A href=3D"javascript:history.go(-1)">Go=20
Back</A></TD></TR></TBODY></TABLE><BR><BR><BR><BR><BR><A name=3Dc3></A>
<TABLE border=3D1 cellPadding=3D2 cellSpacing=3D2 height=3D370 =
width=3D580>
  <TBODY>
  <TR>
    <TD height=3D309 width=3D514>
      <H1 align=3Dcenter>Coulomb's Constant</H1>
      <CENTER><IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/coucon.=
gif"></CENTER>
      <P>The constant of proportionality appearing in <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefor.html#c=
1">Coulomb's=20
      law</A> is often called Coulomb's constant. Note that it can be =
expressed=20
      in terms of another constant, <IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgele/epzero.=
gif">=20
      =3D <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefie.html#c=
3">permittivity</A>=20
      of space. </P>
      <P>When describing the electric forces in atoms and nuclei, it is =
often=20
      convenient to work with the product of Coulomb's constant and the =
square=20
      of the electron charge since that product appears in electric =
potential=20
      energy and electric force expressions. That product in units =
appropriate=20
      for atomic and nuclear processes is:</P>
      <CENTER><IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/imgel2/coucon2=
.gif"></CENTER>
      <P>The electric force between <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elecur.html#c=
2">charges</A>=20
      may be calculated using Coulomb's law. </P></TD>
    <TD align=3Dmiddle width=3D66><A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/hframe.html">Index</A>=
<BR><BR><A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/forces/funfor.html#c3"=
>Electromagnetic=20
      force</A></TD></TR>
  <TR>
    <TD height=3D17>&nbsp;<A=20
      href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html">=20
      HyperPhysics</A>*****<A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/emcon.html#emcon">=20
      Electricity and Magnetism </A></TD>
    <TD><A href=3D"javascript:history.go(-1)">Go=20
Back</A></TD></TR></TBODY></TABLE><BR><BR><BR><BR><BR><BR><BR><BR><BR><BR=
><BR><BR><BR><BR></BODY></HTML>

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