(b) Find the quadrupole moment tensor $Q_{ij}$ for the four charges shown below:
+q
(0,0,+d)
-2q
+q
(0,0,-d)
(c) Find the electric potential for the quadrupole charge distribution shown above
Point P
(d) Find the following terms for the quadrupole charge distribution:
1) $k \int \frac{\rho(\vec{r'})}{r} dv'
$
2) $k \int \frac{\vec{r'} \cdot \vec{r}}{r^3} \rho(\vec{r'}) dv'
$
Note $k = \frac{1}{4\pi\epsilon_0}$