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<p class=3DMsoNormal><o:p>&nbsp;</o:p></p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'><st1:place =
w:st=3D"on"><st1:PlaceName
 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'>June 3, 2008<=
/p>

<p class=3DMsoNormal align=3Dcenter style=3D'text-align:center'>Physics 111=
2 &#8211;
Quiz 2</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:
widow-orphan no-line-numbers'><span style=3D'color:black'><o:p>&nbsp;</o:p>=
</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
style=3D'mso-spacerun:yes'>&nbsp;&nbsp;&nbsp;&nbsp; </span><span
style=3D'color:black'>Particles of charge -20.0 </span><span style=3D'font-=
family:
Symbol;color:black'>m</span><span style=3D'color:black'>C, +35.0 </span><sp=
an
style=3D'font-family:Symbol;color:black'>m</span><span class=3DSpellE><span
style=3D'color:black'>C</span><span style=3D'font-family:Symbol;color:black=
'> </span><span
style=3D'color:black'>and</span></span><span style=3D'color:black'> - 56.0 =
</span><span
style=3D'font-family:Symbol;color:black'>m</span><span style=3D'color:black=
'>C are placed
in a line as shown below. The center one is 0.500 m from each of the others.
Calculate the net electric field due to the charges 0.500 m to the right fr=
om
third charge.<span style=3D'mso-spacerun:yes'>&nbsp; </span><o:p></o:p></sp=
an></p>

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<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>

<p class=3DMsoNormal style=3D'mso-pagination:widow-orphan no-line-numbers'>=
q<sub>1</sub>
=3D -20.0 <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 +35.0 <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 -56.0 <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>) (20.0 x 10<sup>-6=
</sup>
C)<span class=3DGramE>/(</span>1.50 m)<sup>2 </sup>=3D 0.799 x 10<sup>5</su=
p> 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>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>) (35.0 x 10<sup>-6=
</sup>
C)<span class=3DGramE>/(</span>1.00 m)<sup>2 </sup>=3D 3.14 x 10<sup>5</sup=
> 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>3</sub> =3D k |<sub=
> </sub>q<sub>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>) (56.0 x 10<sup>-6=
</sup>
C)<span class=3DGramE>/(</span>0.500 m)<sup>2 </sup>=3D 20.1 x 10<sup>5</su=
p> 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'><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'><span class=3DSpellE>E<su=
b>tot</sub></span>
=3D E<sub>1</sub> + E<sub>2</sub> + E<sub>3 </sub>=3D -0.799 x 10<sup>5</su=
p> N/C +
3.14 x 10<sup>5</sup> N/C - 20.1 x 10<sup>5</sup> N/C =3D <span style=3D'co=
lor:
red'>-1.78 x 10<sup>6</sup></span> <span style=3D'color:red'>N/C (Net elect=
ric
field points to the left.)</span></p>

<p class=3DMsoNormal style=3D'margin-right:-.5in'><o:p>&nbsp;</o:p></p>

<p class=3DNormalText style=3D'tab-stops:.5in 1.15in 121.5pt'><o:p>&nbsp;</=
o:p></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>

<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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