A comparison of magnetostatic field calculations associated with thick solenoids in the presence of iron using an integral formula derived in terms of the quaternion variable and a Maclaurin series solution

摘要

The effect of iron on the uniformity of the field produced by an axisymmetric thick solenoid is considered. Using an integral equation derived for brevity using the quaternion variable of Hamilton the components of the magnetic induction are computed. The solution to the vector potential and field components is also achieved using a Maclaurin series expansion in p, the radial coordinate with numerical results using both methods of solution calculated.