Two particles having charges class=\"mathjax_preview\"> q 1 style=\"border-left:

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Two particles having charges class="mathjax_preview">q1style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.959em; vertical-align: -0.352em;">style="display: inline-block; width: 0px; height: 1.667em;">style="display: inline-block; width: 0px; height: 2.372em;">style="font-size: 70.7%; font-family: mathjax_main;" id="mathjax-span-8" class="mn">id="mathjax-span-7" class="mrow">id="mathjax-span-6" class="texatom">style="position: absolute; top: -2.142em; left: 0.435em;">style="display: inline-block; width: 0px; height: 2.628em;">style="display: inline-block; overflow: hidden; height: 1px; width: 0.014em;">style="font-family: mathjax_math; font-style: italic;" id="mathjax-span-5" class="mi">style="position: absolute; clip: rect(1.994em, 1000em, 3.015em, -0.544em); top: -2.628em; left: 0em;">style="display: inline-block; position: relative; width: 0.894em; height: 0px;">title="q_1" id="mathjax-span-4" class="msubsup">title="q_1" id="mathjax-hitbox-3" class="mathjax_hitbox">id="mathjax-span-3" class="maction">id="mathjax-span-2" class="mrow">style="position: absolute; clip: rect(1.032em, 1000em, 2.088em, -0.544em); top: -1.667em; left: 0em;">style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 120%;">id="mathjax-span-1" class="math"> = 0.700class="mathjax_preview">nCstyle="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.025em; vertical-align: -0.102em;">style="display: inline-block; width: 0px; height: 2.885em;">style="font-family: mathjax_main;" id="mathjax-span-16" class="mi">style="font-family: mathjax_main;" id="mathjax-span-15" class="mi">id="mathjax-span-14" class="mrow">id="mathjax-span-13" class="texatom">id="mathjax-span-12" class="mrow">id="mathjax-span-11" class="texatom">id="mathjax-span-10" class="mrow">style="position: absolute; clip: rect(1.987em, 1000em, 3.098em, -0.552em); top: -2.885em; left: 0em;">style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 120%;">id="mathjax-span-9" class="math">   and class="mathjax_preview">q2style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.959em; vertical-align: -0.352em;">style="display: inline-block; width: 0px; height: 1.667em;">style="display: inline-block; width: 0px; height: 2.372em;">style="font-size: 70.7%; font-family: mathjax_main;" id="mathjax-span-24" class="mn">id="mathjax-span-23" class="mrow">id="mathjax-span-22" class="texatom">style="position: absolute; top: -2.142em; left: 0.435em;">style="display: inline-block; width: 0px; height: 2.628em;">style="display: inline-block; overflow: hidden; height: 1px; width: 0.014em;">style="font-family: mathjax_math; font-style: italic;" id="mathjax-span-21" class="mi">style="position: absolute; clip: rect(1.994em, 1000em, 3.015em, -0.544em); top: -2.628em; left: 0em;">style="display: inline-block; position: relative; width: 0.894em; height: 0px;">title="q_2" id="mathjax-span-20" class="msubsup">title="q_2" id="mathjax-hitbox-19" class="mathjax_hitbox">id="mathjax-span-19" class="maction">id="mathjax-span-18" class="mrow">style="position: absolute; clip: rect(1.032em, 1000em, 2.088em, -0.544em); top: -1.667em; left: 0em;">style="display: inline-block; position: relative; width: 14px; height: 0px; font-size: 120%;">id="mathjax-span-17" class="math"> = 4.00class="mathjax_preview">nCstyle="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 1.025em; vertical-align: -0.102em;">style="display: inline-block; width: 0px; height: 2.885em;">style="font-family: mathjax_main;" id="mathjax-span-32" class="mi">style="font-family: mathjax_main;" id="mathjax-span-31" class="mi">id="mathjax-span-30" class="mrow">id="mathjax-span-29" class="texatom">id="mathjax-span-28" class="mrow">id="mathjax-span-27" class="texatom">id="mathjax-span-26" class="mrow">style="position: absolute; clip: rect(1.987em, 1000em, 3.098em, -0.552em); top: -2.885em; left: 0em;">style="display: inline-block; position: relative; width: 20px; height: 0px; font-size: 120%;">id="mathjax-span-25" class="math">  are separated by a distance of 1.40class="mathjax_preview">mstyle="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.684em; vertical-align: -0.077em;">style="display: inline-block; width: 0px; height: 2.885em;">style="font-family: mathjax_main;" id="mathjax-span-39" class="mi">id="mathjax-span-38" class="mrow">id="mathjax-span-37" class="texatom">id="mathjax-span-36" class="mrow">id="mathjax-span-35" class="texatom">id="mathjax-span-34" class="mrow">style="position: absolute; clip: rect(2.25em, 1000em, 3.077em, -0.552em); top: -2.885em; left: 0em;">style="display: inline-block; position: relative; width: 13px; height: 0px; font-size: 120%;">id="mathjax-span-33" class="math"> .At what point along the line connecting the two charges is the total electric field due to the two charges equal to zero? The answer should be the distance from charge q1 in meters. Thank you!
style="" role="textbox" id="mathjax-element-5-frame" class="mathjax">class="type-specific" type="tex">id="yui_3_3_0_23_137865124273051" class="replace-insert done">style="" role="textbox" id="mathjax-element-4-frame" class="mathjax">class="type-specific" type="tex">id="yui_3_3_0_23_137865124273047" class="replace-insert done">style="" role="textbox" id="mathjax-element-3-frame" class="mathjax">class="type-specific" type="tex">id="yui_3_3_0_23_137865124273043" class="replace-insert done">style="" role="textbox" id="mathjax-element-2-frame" class="mathjax">class="type-specific" type="tex">id="yui_3_3_0_23_137865124273039" class="replace-insert done">style="" role="textbox" id="mathjax-element-1-frame" class="mathjax">class="type-specific" type="tex">id="yui_3_3_0_23_137865124273028" class="replace-insert done">

                    style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.684em; vertical-align: -0.077em;">id="mathjax-span-33" class="math">style="" role="textbox" id="mathjax-element-5-frame" class="mathjax">class="type-specific" type="tex">id="yui_3_3_0_23_137865124273051" class="replace-insert done">

style="border-left: 0em solid; display: inline-block; overflow: hidden; width: 0px; height: 0.684em; vertical-align: -0.077em;">id="mathjax-span-33" class="math">style="" role="textbox" id="mathjax-element-5-frame" class="mathjax">class="type-specific" type="tex">id="yui_3_3_0_23_137865124273051" class="replace-insert done">class="type-specific" type="tex">id="yui_3_3_0_23_137865124273051" class="replace-insert done">

Explanation / Answer

0.7/x^2 = 4/(1.4-x)^2

Solving we get

x = 0.412 m

distance from charge q1 = 0.412 m

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