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Derive an expression for the electric …

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Derive an expression for the electric field due to a system of chages qand q2 with position vector rand rat a distance with respect to common origin.

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Akshat Shrivastava 6 years, 9 months ago

Electric Field due to Multiple Point Charges:

Now consider the more complex case, when the electric field is produced by two point charges <i>Q1</i> and <i>Q2, </i>located at points defined by vectors  and  respectively, where we want to find the net electric field . We can readily get the electric fields  and  produced by charges <i>Q1 </i>and <i>Q2</i>taken separately by using coulomb's law:

 Electric field due to multiple point

First, Find the force of <a href="http://4.bp.blogspot.com/_iw6iAVe9Rhs/StiBbz0-VRI/AAAAAAAAACk/jmCWH7UNyyE/s1600-h/image044.gif" onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}"></a>

 

Second, Find the force of <a href="http://4.bp.blogspot.com/_iw6iAVe9Rhs/StiCE66yqNI/AAAAAAAAACs/zWw2I_xkGCY/s1600-h/image051.gif" onblur="try {parent.deselectBloggerImageGracefully();} catch(e) {}"></a>

The net electric field is equal to the vector sum of individual fields

Putting the above formulas gives

The vector  can be readily determined graphically by parallelogram rule, which states that the vector  is defined by the diagonal of the parallelogram with sides  and .

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