for the HP 42S
LCR - Resonant frequency of the LC resonator

LC resonator
Usage

[f] [D]
Input
Output

Program list
LCR - Rev.1.02, Aug. 8 2011
00 { 120-Byte Prgm }
01 LBL "LCR"
02 MVAR "C"
03 MVAR "L"
04 MVAR "F0"
05 MVAR "Fm"
06 MVAR "Qm"
07 VARMENU "LCR"
08 STOP
09 EXITALL
10 RCL "C"
11 X≤0?
12 GTO "LCR"
13 RCL "L"
14 X≤0?
15 GTO "LCR"
16 ×
17 SQRT
18 ENTER
19 ENTER
20 +
21 PI
22 ×
23 RCL "F0"
24 X≤0?
25 GTO "LCR"
26 1/X
27 →POL
28 1/X
29 STO "Fr"
30 LASTX
31 RCL× "Fm"
32 SQRT
33 ENTER
34 RCL× "Qm"
35 STO "Q"
36 RCL "Fr"
37 CLA
38 ENG 10
39 "Q~="
40 ARCL "Q"
41 "LFFr="
42 ARCL "Fr"
43 " Hz"
44 AVIEW
45 RTN
46 END

Example
Input
Var "C" = 68e-12  [F]
Var "L" = 47e-6  [H]
Var "F0" = 15e6   [Hz]
Var "Fm" = 2.52e6 [Hz]
Var "Qm" = 30
Output
z: 954.33441346e-3
y: 28.630032404e0
x: 2.7669376386e06 [Hz]

See also
HP 15C - LC resonator replacement for triple speed 15C
Download
'LCR-1.02' (LCR.raw, 127 byte, raw program file for the Free42)

Appendix A
An example of the electrical characteristics of an actual inductor (TDK SMD Inductors For Signal Line(Wound) NLV Series NLV32)
Inductance
(μH)
Inductance
tolerance
Q
min.
Test frequency L,Q
(MHz)
Self-resontant frequency
(MHz)min.
DC resistance
(Ω)max.
Rated current
(mA)max.
Part No.
47 ±5% 30 2.52 15 7 60 NLV32T-470J-☐

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