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Transcript
```Chapter 11: Magnetic Multipoles
For a spatially localized current density
j(r), we may write B(r) = ∇ × A(r) where
A(r) =
μ0
4π
∫
j(r’)
| r−r’ |
d3r’
Expand in powers of r’/r with r > r’.
This will give the asymptotic potential for
r >> the size of the current carrying object.
which is the multipole expansion for the
vector potential.
The magnetic monopole ( l = 0 ).
The term with l = 0 is zero.
Proof.
The magnetic dipole ( l = 1 ).
So, asymptotically, the term with l = 1 is
dominant (unless it happens to be 0).