L- ‐ Inductanse of a straight conductor of thin flat section / HP-42S

for the HP 42S
L- ‐ Inductanse of a straight conductor of thin flat section

Input

Var "Len" : ℓ ‐ Conductor length [mm]
Var "W" : w ‐ Conductor width [mm]
Var "T" : t ‐ Conductor thickness [mm]
Var "F" : f₀ ‐ frequency [Hz]

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 thin flat section

Program list

Lsf - Rev.1.00, Aug. 11 2011


00 { 113-Byte Progm }
01 LBL "L-"
02 MVAR "Len"
03 MVAR "W"
04 MVAR "T"
05 MVAR "F"
06 VARMENU "L-"
07 STOP
08 EXITALL
09 RCL "W"
10 RCL+ "T"
11 RCL÷ "Len"
12 ENTER
13 ENTER
14 0.2235
15 ×
16 0.5
17 +
18 X<>Y
19 2
20 X<>Y
21 ÷
22 LN
23 +
24 RCL× "Len"
25 2e-10
26 ×
27 STO "L"
28 ENTER
29 ENTER
30 +
31 PI
32 ×
33 "RCL× "F"
34 STO "X"
35 CLA
36 "L="
37 ARCL "L"
38 "[H]^L_FX="
39 ARCL "X"
40 "[Ohm]"
41 AVIEW
42 RTN
43 .END.

Formulas used

where,
L_flat : inductance of the conductor [μH]
ℓ : length of the conductor [mm]
w : width of the conductor [mm]
t : thickness of the conductor [mm]

Example

Input

Var "Len" = 10 [mm]
Var "W" = 1.74 [mm]
Var "T" = 0.018 [mm]
Var "F" = 1e9 [Hz]

Output

L=5.94169354858e-9[H]
X=37.33327616042e0[Ohm]

y:5.94169354858e-9
x:37.33327616042e0

DOWNLOAD

'Lsf-1.00' (Lsf.raw, 115 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.