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trini
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Hey everyone, I'm trying to work out the current I would require to produce a 44kOe magnetizing field in a radial solenoid. From my understanding, in order to do this I need the relative permeability of my material, the inductance of my coil, as well as the number of turns in the coil and it's length.(I'm not sure if i am supposed to use the recoil permeability here but it seems to me to be the correct option)
Now:
μrec = 1.22
relative permeability, Κm = μrec/μ0
length of solenoid,l = 0.166116 m
turns, N = 600
Average loop area, A = 0.03246941 m2
H = 44000 G = 3, 501, 409 Am-1
integral H.dl = μ0.Κ(Ipen + dΦ/dt) [recall: dΦ/dt = -ε0LI][Ipen = (N / l) I]
3, 501, 409 = (μ0)(μrec/μ0){(N/l)I - Aε0(N2/l)I}
3, 501, 409 = μrecI {(N/l) - Aε0(N2/l)}
3, 501, 409 = (1.22) I {(600/0.166116) - (0.03246941)(8.85418782 × 10-12)(6002/0.166116)}
3, 501, 409 = 4406.559271 I
I = 794.5902 AEDIT: I just realized i forgot to multiply the inductance by ε0! This current seems more correct, could someone please verify though?
Now:
μrec = 1.22
relative permeability, Κm = μrec/μ0
length of solenoid,l = 0.166116 m
turns, N = 600
Average loop area, A = 0.03246941 m2
H = 44000 G = 3, 501, 409 Am-1
integral H.dl = μ0.Κ(Ipen + dΦ/dt) [recall: dΦ/dt = -ε0LI][Ipen = (N / l) I]
3, 501, 409 = (μ0)(μrec/μ0){(N/l)I - Aε0(N2/l)I}
3, 501, 409 = μrecI {(N/l) - Aε0(N2/l)}
3, 501, 409 = (1.22) I {(600/0.166116) - (0.03246941)(8.85418782 × 10-12)(6002/0.166116)}
3, 501, 409 = 4406.559271 I
I = 794.5902 AEDIT: I just realized i forgot to multiply the inductance by ε0! This current seems more correct, could someone please verify though?
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