L• - Inductanse of a straight conductor of circular section / HP-42S

for the HP 42S
L• - Inductanse of a straight conductor of circular section

Input

Var "Len" : ℓ ‐ Conductor length [mm]
Var "Dia" : d ‐ Conductor diameter  [mm]
Var "F" : f₀ ‐ frequency [Hz]
Var "G" : σ ‐ Conductance of the conductor material [S/m]
Var "μr" : μ_r ‐ Relative permiability of the conductor material_m

Resources used

Mem 00: χ,T(χ) ‐ skin effect compensation term

Output

REG y: L ‐ Inductance at "F" [H]
REG x: X_L ‐ Reactance of the inductor at "F" [Ω]

Straight conductor
of circular section Relative permiability and conductance
of popular materials

Program list

Lsc - Rev.1.00, Aug. 11 2011


00 { 258-Byte Progm }
01 LBL "L•"
02 MVAR "Len"
03 MVAR "Dia"
04 MVAR "F"
05 MVAR "G"
06 MVAR 'μr"
07 VARMENU "L•"
08 STOP
09 EXITALL
10 XEQ 00
11 4e-7
12 RCL÷ "G"
13 RCL× "2Π"
14 RCL× "μr"
15 RCL× "F"
16 SQRT
17 RCL× "Dia"
18 PI
19 ×
20 STO 00
21 1.86128e-4
22 ×
23 0.873011
24 +
25 1.27964e-3
26 RCL× 00
27 0.0278381
28 -
29 RCL× 00
30 1
31 +
32 ÷
33 SQRT
34 STO 00
35 RCL× "μr"
36 4
37 ÷
38 RCL "Dia"
39 RCL÷ "Len"
40 ENTER
41 ENTER
42 2
43 ÷
44 X<>Y
45 4
46 X<>Y
47 ÷
48 LN
49 +
50 1
51 -
52 +
53 RCL× "Len"
54 2e-10
55 ×
56 STO "L"
57 ENTER
58 "RCL× "F"
59 RCL× "2π"
60 STO "X"
61 CLA
62 "L="
63 ARCL "L"
64 "[H]^L_FX="
65 ARCL "X"
66 "[Ohm]"
67 AVIEW
68 RTN
69 LBL 00
70 PI
71 ENTER
72 +
73 STO "2π"
74 RCL "F"
75 X≤0?
76 1e9
77 STO "F"
78 RCL "μr"
79 X≤0?
80 0.999991
81 STO "μr"
82 RCL "G"
83 X≤0?
84 5.88e7
85 STO G
86 RTN
87 .END.

Example

Input

Var "Len" = 10 [mm]
Var "Dia" = 1 [mm]
Var "F" = 1e9 [Hz]
Var "G" = 5.76e7 [S/m]
Var "μm" = 0.999991

Output

L=5.9450658958e-9 [H]
X=37.353950687e0 [Ohm]

Mem 00: 934.62238679e-3

y: 5.94506589582e-9
x: 37.3539506869e0

DOWNLOAD

'Lsc-1.02' (Lsc.raw, 260 byte, raw program file for the Free42)

REFERENCE

Brian C. Wadell, "Transmission line design handbook", Artech House, Boston, 1991.
F.W. Grouvers, "Inductance calculations", Van Nostrand, New York, 1946.

Straight conductor of circular section	Relative permiability and conductance of popular materials