Electric Field due to a Point Charge

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hpayandah
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Homework Statement


Looking at the picture I have attached the problem is very straight forward. In the denominator of the equations I have posted the teacher uses 2[itex]\Pi[/itex] but the book uses 4[itex]\Pi[/itex]. Can someone please explain to me why is that.


Homework Equations


Book's equation:
attachment.php?attachmentid=59489&stc=1&d=1371058707.jpg

Teacher's Soln:
attachment.php?attachmentid=59490&d=1371058701.jpg


The Attempt at a Solution


Please refer to attached pictures.
 

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I was finally able to solve my problem. By the way from the two y points there is infinite line of charge in the z-axis. Here is my answer:
attachment.php?attachmentid=59492&stc=1&d=1371070711.jpg
 

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