Hello! [

]

I have a coil in an AC circuit. I tried to apply these formulas to get H, but it seems there is a problem w/ my formula (H should be proportional to N, no. of turns).

H=N I/l-M, I=current, l=length, M=magnetization

I=Vcoil/(2 π f L), f=frequency, L=inductance

L (inductance for an air coil)=K μ0 π r^2 N^2/l, K=Nagaoka coeff, 0<K<1, r=radius of the coil

In the end, substituting L into I and then I into H I get H proportional to 1/N !!!!!(H=Vcoil/(2 π f K μ0 π r^2 N) -M, which seems to contradict my first formula for H.

Please reply if you see any mistake.

Thanks for reading!