A rod length l is uniformly charged with charge q. Calculate potential at point P.

Explanation

Take a small element of length dx, at a distance x from left end. Potential due to this small element

`DV=(K (dp))/x" ":." "` Total potential `implies" "V= underset(x=0)overset(x=l)(int) (kdq)/(x)`
Where `dp=q/l dx" "implies" "V=underset(x=r)overset(x=r+l)(int) (K(q/l dx))/(x)=(Kq)/(l) log_(e) ((l+r)/r)`