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Subject: =?iso-8859-1?Q?Magnetic_force?=
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Date: Sat, 14 Jun 2003 15:16:46 -0400
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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML><HEAD><TITLE>Magnetic forces</TITLE>
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<BODY bgColor=3D#ffe4c8><!-- Copyright 1998 by Carl Rod Nave, =
RodNave@gsu.edu--><A=20
name=3Dc1></A>
<TABLE border=3D1 cellPadding=3D2 cellSpacing=3D2 height=3D370 =
width=3D580>
  <TBODY>
  <TR>
    <TD height=3D309 width=3D514>
      <H1 align=3Dcenter>Magnetic Force</H1>
      <P>The magnetic field B is defined from the <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html#c=
2">Lorentz=20
      Force Law</A>, and specifically from the magnetic force on a =
moving=20
      charge: </P>
      <CENTER><IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/imgmag/fqvb.gi=
f"></CENTER>
      <P>The implications of this expression include:</P>
      <P>1. The force is perpendicular to both the velocity v of the =
charge q=20
      and the magnetic field B.</P>
      <P>2. The magnitude of the force is F =3D qvB sin<IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/imgmag/theta.g=
if">=20
      where <IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/imgmag/theta.g=
if">=20
      is the angle &lt; 180 degrees between the velocity and the =
magnetic field.=20
      This implies that the magnetic force on a stationary charge or a =
charge=20
      moving parallel to the magnetic field is zero.</P>
      <P>3. The direction of the force is given by the <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html#c=
3">right=20
      hand rule</A>. The force relationship above is in the form of a <A =

      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/vecmag.html#vvc7">vect=
or=20
      product</A>. </P>
      <P>From the force relationship above it can be deduced that the =
units of=20
      magnetic field are Newton seconds /(Coulomb meter) or Newtons per =
Ampere=20
      meter. This unit is named the Tesla. It is a large unit, and the =
smaller=20
      unit Gauss is used for small fields like the Earth's magnetic =
field. A=20
      Tesla is 10,000 Gauss. The Earth's magnetic field is on the order =
of half=20
      a Gauss.=20
      <CENTER>
      <TABLE border=3D1 cellPadding=3D2 cellSpacing=3D2>
        <TBODY>
        <TR>
          <TD><A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magint.html#c=
1">Magnetic=20
            interactions with charge</A></TD>
          <TD><A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magforcon.htm=
l#c1">Magnetic=20
            force =
applications</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><BR><BR><A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magcon.html#c=
1">Magnetic=20
      field concepts</A></TD></TR>
  <TR>
    <TD height=3D17>&nbsp;
      <TABLE>
        <TBODY>
        <TR>
          <TD width=3D450><A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html">HyperPhysics=
</A>*****<A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/emcon.html#emcon">=20
            Electricity and Magnetism </A></TD>
          <TD align=3Dright><FONT size=3D-1><I>R=20
      Nave</I></FONT></TD></TR></TBODY></TABLE></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>Lorentz Force Law</H1>
      <P>Both the <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elefie.html#c=
1">electric=20
      field</A> and <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfie.html#c=
1">magnetic=20
      field</A> can be defined from the Lorentz force law:</P>
      <CENTER><IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/imgmag/lorfor.=
gif"></CENTER>
      <P>The electric force is straightforward, being in the direction =
of the=20
      electric field if the charge q is positive, but the direction of =
the=20
      magnetic part of the force is given by the <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html#c=
3">right=20
      hand rule</A>. </P>
      <CENTER><IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/imgmag/lorfor2=
.gif"></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><BR><BR><A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html#c=
1">Magnetic=20
      force</A><BR><BR><A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magcon.html#c=
1">Magnetic=20
      field concepts</A></TD></TR>
  <TR>
    <TD height=3D17>&nbsp;
      <TABLE>
        <TBODY>
        <TR>
          <TD width=3D450><A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html">HyperPhysics=
</A>*****<A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/emcon.html#emcon">=20
            Electricity and Magnetism </A></TD>
          <TD align=3Dright><FONT size=3D-1><I>R=20
      Nave</I></FONT></TD></TR></TBODY></TABLE></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>Right Hand Rule</H1>
      <CENTER><IMG=20
      =
src=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/imgmag/rthnd.g=
if"></CENTER>
      <P>The right hand rule is a useful mnemonic for visualizing the =
direction=20
      of a <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html#c=
1">magnetic=20
      force</A> as given by the <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magfor.html#c=
2">Lorentz=20
      force law</A>. The diagrams above are two of the forms used to =
visualize=20
      the force on a moving positive charge. The force is in the =
opposite=20
      direction for a negative charge moving in the direction shown. One =
fact to=20
      keep in mind is that the magnetic force is perpendicular to both =
the=20
      magnetic field and the charge velocity, but that leaves two =
possibilities.=20
      The right hand rule just helps you pin down which of the two =
directions=20
      applies.</P>
      <P>For applications to current-carrying wires, the <A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/electric/elecur.html#c=
3">conventional=20
      electric current</A> direction can be substituted for the charge =
velocity=20
      v in the above digram. </P>
      <CENTER>
      <TABLE border=3D1 cellPadding=3D2 cellSpacing=3D2>
        <TBODY>
        <TR>
          <TD><A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/vecmag.html#vvc7">Magn=
etic=20
            force as a vector =
product</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/magnetic/movchg.html#c=
1">Magnetic=20
            force on a moving =
charge</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/magnetic/magfor.html#c=
1">Magnetic=20
      force</A><BR><BR><A=20
      =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/magnetic/magcon.html#c=
1">Magnetic=20
      field concepts</A></TD></TR>
  <TR>
    <TD height=3D17>&nbsp;
      <TABLE>
        <TBODY>
        <TR>
          <TD width=3D450><A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html">HyperPhysics=
</A>*****<A=20
            =
href=3D"http://hyperphysics.phy-astr.gsu.edu/hbase/emcon.html#emcon">=20
            Electricity and Magnetism </A></TD>
          <TD align=3Dright><FONT size=3D-1><I>R=20
      Nave</I></FONT></TD></TR></TBODY></TABLE></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=
></BODY></HTML>

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------=_NextPart_000_00B9_01C33287.F84C0050--
