L
Lamont Cranston
Guest
On Wednesday, November 16, 2022 at 4:00:06 PM UTC-6, Ricky wrote:
It\'s in the Boonton manual and the HP 4342A manual.
I almost didn\'t put that in because I thought it confusing.
It takes a 8,310,000Ω in parallel with 1,071,389Ω to get 949,053Ω
What is in parallel with my 10MΩ to make it 8,310,000Ω?
If it is the 0.12pf self capacitance, I can\'t make the numbers work.
Hope I explained that.
The question, why does a 10MΩ measure 8MΩ on the Q Meter?
The additional Xp formula in the manual, makes me think the I was wrong that resonating away the self capacitance,
made it of no consequence re: its Xc. Since they put the formula in the manual in the section about Large Resistors, I would think they would want
it included in a calculation of any resistor that is reactive. (All! a some frequency it matters!)
So, if we include the Xc of the self capacitance in parallel with the 10MΩ it will lower the measurement.
I think we have Rp of the original LC, the 10MΩ and the Xc of the self capacitance all in parallel. But, again I don\'t know how to calculate the imaginary number.
Yes, but any math I have tried doesn\'t give me an answer that works for the self capacitance I measure.
See pg 22 second column for the formulas. http://hparchive.com/Boonton/Boonton-Manual-260A.pdf
Mikek
On Wednesday, November 16, 2022 at 4:19:02 PM UTC-5, Lamont Cranston wrote:
On Wednesday, November 16, 2022 at 12:19:37 PM UTC-6, Ricky wrote:
On Wednesday, November 16, 2022 at 1:12:00 PM UTC-5, Lamont Cranston wrote:
I just finished building Ringdown Q meter, with a PCB designed and built by a follow in China.
https://www.dropbox.com/s/31iw8mm8ctwz1em/Q%20meter%20Ming%27s%201.jpg?dl=0
I performed the same measurements of a 10MΩ 0805 resistor at 1MHz.
I ended up with pretty much the same result, measuring slightly over 8MΩ with a 10MΩ resistor.
Show your work.
--
Rick C.
Formula used:
Rp = Q1 x Q2 / 2 x pi x capacitance x Delta Q
Q1 =1323
Q2= 1130 (loaded with 10MΩ)
C =151.1pf used to resonate the inductor
Frequency 1MHz
Delta Q= 1323-1130 =193
Using the formula,
( 1323 x 1130 ) / (6.28 X 10^6 x 151.1 X10^-12)
1,494,990 / 0.18435 = 8,109,160Ω
2nd Test:
Q1 =1320
Q2= 1130 (loaded with 10MΩ)
C =151.1pf used to resonate the inductor
Frequency 1MHz
Delta Q= 1320 - 1130 =190
( 1320 x 1130 ) / (6.28 X 10^6 x 151.1 X 10^-12 x 190)
1,491,600 / 0.18435 = 8,091,131Ω
\"The manual under measuring \'Large Resistors\' says,
\"If the resistor is also Reactive,
Xp = 1 / 2 x pi x F x (C1-C2) \"
(C1-C1 =0.12pf)
I assume your equations came from Boonton?
It\'s in the Boonton manual and the HP 4342A manual.
Xp = 1,326,964Ω (for the capacitor, which I thought was tuned out, but somehow, still affects the R?)
Rp = Q x Xc (of tuning capacitor) -----Xc = 1 / ( 2 x pi x 1MHz x 151.39) = 1019.4
Rp = 1019.4 x 1051 = 1,071,389
Rp with parallel 10MΩ = 949,053
I almost didn\'t put that in because I thought it confusing.
It takes a 8,310,000Ω in parallel with 1,071,389Ω to get 949,053Ω
What is in parallel with my 10MΩ to make it 8,310,000Ω?
If it is the 0.12pf self capacitance, I can\'t make the numbers work.
I\'ve lost track of your goal.
I think you are measuring different things. Rp in the above is the total combined resistive component of the circuit measured, the combined impact of all >dissipative elements. Is this what you are trying to measure? This includes the loading resistor and the parasitic resistances in the reactive components.
Hope I explained that.
The question, why does a 10MΩ measure 8MΩ on the Q Meter?
The additional Xp formula in the manual, makes me think the I was wrong that resonating away the self capacitance,
made it of no consequence re: its Xc. Since they put the formula in the manual in the section about Large Resistors, I would think they would want
it included in a calculation of any resistor that is reactive. (All! a some frequency it matters!)
So, if we include the Xc of the self capacitance in parallel with the 10MΩ it will lower the measurement.
I think we have Rp of the original LC, the 10MΩ and the Xc of the self capacitance all in parallel. But, again I don\'t know how to calculate the imaginary number.
The reactance portion uses imaginary numbers (a scalar multiplied by i, the square root of -1). It\'s easier to picture this on an XY graph. The real numbers (resistance) on the X axis, and the imaginary part on the Y axis (inductance is typically positive and capacitive is negative). So combining resistance and reactance is a vector sum of measurements on the two orthogonal axes.
It\'s actually pretty simple. With a parallel circuit, the voltages on each component are the same, amplitude and phase. The currents will be 90° out of phase, the inductor current is 90° ahead of the resistive current, and the capacitor current will be 90° behind the resistor. When the circuit is in resonance, the capacitor and inductor currents are equal and opposite, so the reactive part looks like a high impedance, limited only by the parallel resistor.
In a series circuit, the current is the same in all elements, but the voltages vary. When the voltage on the capacitor and inductors are equal in magnitude (with opposite signs) the circuit is in resonance. The opposite voltages on the cap and inductor will cancel, leaving only the series resistance.
Yes, but any math I have tried doesn\'t give me an answer that works for the self capacitance I measure.
See pg 22 second column for the formulas. http://hparchive.com/Boonton/Boonton-Manual-260A.pdf
Mikek