LCR - Resonant frequency of the LC resonator / HP-15C

for the HP 15C
LCR - Resonant frequency of the LC resonator

LC resonator

Usage


[f] [D]

Input

R₇: L ‐ Inductance  [H]
R₈: f₀ ‐ Self-resonant frequency of the inductor [Hz]
R₉: f_m ‐ L,Q Test frequency of the inductor [Hz]
x : C_p ‐ Capacitance [F]

Output

REG y: (f_m/f_r)^1/2
REG x: f_r ‐ Resonant frequency [Hz]

Program list

LCR - Rev.1.01, Aug. 8 2011


001-42,21,14 LBL D
002-45,20, 7 RCL× 7
003-      11 √x
004-      36 ENTER
005-      40 +
006-   43 26 π
007-      20 ×
008-   45  8 RCL 8
009-      15 1/x
010-   43  1 →P
011-      15 1/x
012-   43 36 LSTx
013-45,20, 9 RCL× 9
014-      11 √x
015-      34 x<>y
016-   43 32 RTN

Example

Input

R₇ = 47e-6  [H]
R₈ = 15e6   [Hz]
R₉ = 2.52e6 [Hz]
x  = 68e-12 [F]

Output

y: 954.3344e-03
x: 2.766937e06 [Hz]

SEE ALSO

HP 15C - LC resonator replacement for triple speed 15C

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-☐

180 ±5% 20 0.796 7 17 60 NLV32T-181J-☐

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-☐
180	±5%	20	0.796	7	17	60	NLV32T-181J-☐