Generally a surface which is symmetric about z-axis is s.t.b azimuthally symmetric like a sphere as we can easily see its symmetric. How can a dipole along z-axis be azimuthally symmetric?
In spherical polar coordinates charge density can be written as Ʃqi*δ(r-ri)*δ(θ-θi)*δ(∅-∅i).
where ∅=tan^-1(y/x) . since its a dipole on z-axis therefore ∅'=tan^-1(0/0) . i don't know how to deal with this form of ∅.
given a dipole on z-axis(+q at z=a and -q at z= -a) , find out the non vanishing multipoles using spherical harmonics.
can somebody tell me how to do this problem using spherical harmonics..because when we write charge density using dirac delta function in spherical polar coordinates. then we...