The URL below adds iron to an air core solenoid to reduce the reluctance and increase force. The author calculates the reluctance of an air core as R1. He then calculates the reluctance of two iron end plate washers as R2 and R4. Then the iron tube around the air core as R3. He then adds R1+R2+R3+R4 for total reluctance.
It seems to me that R1 (the air core) is eliminated because it is replaced (shunted) by the iron. Can someone explain what I am missing here. I understand at some point there will be an air gap, but it will much smaller, I'll deal with that later.
Also in the section, "R2,R4: Finding Reluctance of a Flat Washer" He goes through some calculus and gets, Reluctance = 1/(2*pi*t*u)[ln(r2)-ln(r1)] He then reduces this to, Reluctance = (ln(r2/r1)) / (2*pi*t*u)
I don't see this as correct, Can I get a little help? Thanks, Mike .