Magnetostatic Field calculations associated with thick Solenoids in the Presence of Iron using a Power Series expansion and the Complete Elliptic Integrals

摘要

The effect of iron on the uniformity of the field produced by an axisymmetric thick solenoid is considered. Using a power series expansion of the vector potential in the radial and axial coordinates the potential is found and from this the magnetic induction B is derived. The solution to the vector potential and field components is also achieved using the complete Elliptic Integrals of Legendre of the first and second kind respectively with numerical results using both methods of solution computed.