The text describes a Helmholtz coil as two parallel, coaxial, and circular current loops of radius R separated by a distance R. Each loop carries a current I in the same direction.
(a) Use the magnetic scalar potential and both matching conditions at an appropriate spherical surface to show that each component of the Helmholtz coil magnetic field behaves asymptotically (r →∞) as

(b) Show that a second set of Helmholtz coils arranged coaxially with the first can be used to cancel the dipole field so that only the hexadecapole field remains at long distance.

Transcribed Image Text:

f(0) p.3 + g(0) r7 +