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

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

LC resonator

Usage


[f] [D]

Input

Var "C"  : C_p ‐ Capacitance [F]
Var "L" : L ‐ Inductance  [H]
Var "F0" : f₀ ‐ Self-resonant frequency of the inductor [Hz]
Var "Fm" : f_m ‐ L,Q Test frequency of the inductor [Hz]
Var "Qm" : Q_m ‐ Quality factor of the inductor at f_m

Output

REG z: (f_m/f_r)^1/2
REG y: (f_m/f_r)^1/2 Q_m ‐ Estimated quality factor at f_r
REG x: f_r ‐ Resonant frequency [Hz]

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 "^L_FFr="
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-☐

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-☐