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V – Electric potential

I drew the picture of basically a rod with end points a and –a on the x axis with a point b that sits as well on the x positive axis.

Assuming that is correct, I then am asked to find the electric field using my previous answer on the same point. I did not partially derrive with respect to y or z for the j and k vector components because the original potential equation has no y or z variables which means 0.

https://www.physicsforums.com/attachment.php?attachmentid=8199&stc=1&d=1162609042

Please let me know if the problems are worked out correctly.

My next question is:

Finding the volume charge density in spherical coordinates bounded by:

https://www.physicsforums.com/attachment.php?attachmentid=8200&stc=1&d=1162609042

The formula was given by my teacher as he told us to use that in spherical charge denisty problems. He proved it through a tedious triple integral which I was not able to completly copy down.

The problem I am having is I thought I was correctly setting up the problem but when he was doing a similar problem today on magnetism i noticed his bounds resulted in having each integral with 2-3 parts. Like a to r plus r to 2a and etc. I do not understand.

Please help me, if you guys need more details let me know.

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# Homework Help: Electric potential, field and charge density problem check

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