# Potential of the rod on its axis.

1. Jul 16, 2011

### Sumedh

If a rod of length l is uniformly charged with charge q what will be the potential at point p?
The point is on the axis of the rod.Distance between the rod and point is r.
Also tell the concept behind this. Any help will be highly appreciated.

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Last edited: Jul 16, 2011
2. Jul 16, 2011

### xts

Easy, just sum (integrate) potential coming from every point of your rod:
$$\varphi(r) = \int_r^{r+l}\frac{1}{4\pi\varepsilon_0\varepsilon}\frac{q}{l}\frac{1}{\varrho}d\varrho= \frac{1}{4\pi\varepsilon_0\varepsilon}\frac{q}{l}\ln {\frac{r+l}{r}}$$

3. Aug 8, 2011

### Sumedh

thank you very much