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 w:st=3D"on">Clayton</st1:PlaceName> <st1:PlaceName w:st=3D"on">State</st1:=
PlaceName>
 <st1:PlaceType w:st=3D"on">University</st1:PlaceType></st1:place></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Department =
of Natural
Sciences</p>

<p class=3DMsoNormal align=3Dright style=3D'text-align:right'><o:p>&nbsp;</=
o:p></p>

<p class=3DMsoNormal align=3Dright style=3D'text-align:right'>September 1, =
2006</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Physics 111=
2 &#8211;
Quiz 1</p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbsp;=
</o:p></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><o:p>&nbsp;=
</o:p></p>

<p class=3DMsoNormal>Name<span style=3D'mso-spacerun:yes'>&nbsp;
</span>__SOLUTION___________________________________</p>

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gination:
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</span></p>

<p class=3DMsoNormal style=3D'margin-left:24.1pt;text-indent:-24.1pt;mso-pa=
gination:
widow-orphan no-line-numbers'>1.<span
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ype
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</v:shapetype><v:shape id=3D"_x0000_i1025" type=3D"#_x0000_t75" style=3D'wi=
dth:43.8pt;
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--[if gte vml 1]><v:shape
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pt' o:ole=3D"">
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</v:shape><![endif]--><![if !vml]><img width=3D46 height=3D18
src=3D"Fall06.Phys1112.Quiz1.SolutionWeb_files/image008.gif" v:shapes=3D"_x=
0000_i1026"><![endif]></sub><!--[if gte mso 9]><xml>
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</xml><![endif]--><span style=3D'mso-spacerun:yes'>&nbsp;</span>are placed =
in a line
as shown below. The center one is 0.350 m from each of the others. Find the
electric field at the midpoint between<span
style=3D'mso-spacerun:yes'>&nbsp;&nbsp; </span>+75 and +48.0 </span><span
style=3D'font-family:Symbol;color:black'>m</span><span style=3D'color:black=
'>C
charges. Do not forget to specify magnitude and direction.<o:p></o:p></span=
></p>

<p class=3DNormalText style=3D'tab-stops:.5in 1.15in 121.5pt'><span
style=3D'font-size:12.0pt'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1027" =
type=3D"#_x0000_t75"
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src=3D"Fall06.Phys1112.Quiz1.SolutionWeb_files/image003.jpg" v:shapes=3D"_x=
0000_i1027"><![endif]><o:p></o:p></span></p>

<p class=3DMsoNormal style=3D'mso-pagination:widow-orphan no-line-numbers'>=
q<sub>1</sub>
=3D +75.0 <span class=3DCRPROBNUM><span style=3D'mso-ansi-font-size:12.0pt;
font-family:"Times New Roman";color:black'>x 10<sup>-6</sup> C</span></span=
></p>

<p class=3DMsoNormal style=3D'mso-pagination:widow-orphan no-line-numbers'>=
<br
clear=3Dall>
q<sub>2</sub> =3D +48.0 <span class=3DCRPROBNUM><span style=3D'mso-ansi-fon=
t-size:
12.0pt;font-family:"Times New Roman";color:black'>x 10<sup>-6</sup> C</span=
></span></p>

<p class=3DMsoNormal style=3D'mso-pagination:widow-orphan no-line-numbers'>=
<o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'mso-pagination:widow-orphan no-line-numbers'>=
q<sub>3</sub>
=3D -85.0 <span class=3DCRPROBNUM><span style=3D'mso-ansi-font-size:12.0pt;
font-family:"Times New Roman";color:black'>x 10<sup>-6</sup> C</span></span=
></p>

<p class=3DMsoNormal style=3D'mso-pagination:widow-orphan no-line-numbers'>=
<span
style=3D'color:black'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'>E<sub>1</sub> =3D k |<sub=
> </sub>q<sub>1</sub>|/r<sub>1</sub><sup>2</sup>
=3D (8.99 x 10<sup>9</sup> N-m<sup>2</sup>/C<sup>2</sup>) (75.0 x 10<sup>-6=
</sup>
C) / (0.175 m)<sup>2 </sup>=3D 2.2016 x 10<sup>7</sup><span
style=3D'mso-spacerun:yes'>&nbsp; </span>N/C, to the right</p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'>E<sub>2</sub> =3D k |q<su=
b>2 </sub>|/r<sub>2</sub><sup>2</sup>
=3D (8.99 x 10<sup>9</sup> N-m<sup>2</sup>/C<sup>2</sup>) (48.0 x 10<sup>-6=
</sup>
C) / (0.175 m)<sup>2 </sup>=3D 1.4090 x 10<sup>7</sup> N/C, to the left</p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'>E<sub>3</sub> =3D k |q<su=
b>3 </sub>|/r<sub>3</sub><sup>2</sup>
=3D (8.99 x 10<sup>9</sup> N-m<sup>2</sup>/C<sup>2</sup>) (85.0 x 10<sup>-6=
</sup>
C) / (0.525 m)<sup>2 </sup>=3D 0.2772 x 10<sup>7</sup><span
style=3D'mso-spacerun:yes'>&nbsp; </span>N/C, to the right</p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'>E<sub>tot</sub> =3D E<sub=
>1</sub> +
E<sub>2</sub> + E<sub>3</sub> =3D +2.2016 x 10<sup>7</sup> N/C &#8211; 1.40=
90 x
10<sup>7</sup> N/C + 0.2772 x 10<sup>7</sup> N/C =3D <span style=3D'color:r=
ed'>1.0698
x 10<sup>7</sup> N/C,</span> <span style=3D'color:red'>to the right</span><=
/p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal style=3D'mso-pagination:widow-orphan no-line-numbers'>=
<span
style=3D'color:black'><o:p>&nbsp;</o:p></span></p>

<p class=3DMsoNormal style=3D'mso-pagination:widow-orphan no-line-numbers'>=
<span
style=3D'color:black'><o:p>&nbsp;</o:p></span></p>

<p class=3DNormalText style=3D'tab-stops:.5in 1.15in 121.5pt'><span
style=3D'font-size:12.0pt'><o:p>&nbsp;</o:p></span></p>

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