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Homework Statement
In the figure the rod has a charge density of ßx, where x=0 is the left end of the rod, etc. Find the electric potential energy of the point charge q a distance a from the end of the rod and lying along the rod's axis.
http://www.usi.edu/science/physics/pickett/206/4p4f1.jpg
Homework Equations
V=[itex]\frac{q}{4\pi\epsilon r}[/itex]
The Attempt at a Solution
Since it is voltage from the whole rod it should be an integral, but where I'm not sure at is what should be on top of the fraction
The integral is from 0 to L
[itex]\int\frac{q}{4\pi\epsilon (a+L-x)}dx[/itex]
or
[itex]\int\frac{\beta x}{4\pi\epsilon (a+L-x)}dx[/itex]
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