P=IV & V=IR Question

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GoldDigger

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Placerville, CA, USA
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Retired PV System Designer
For a long time I have used the ad hoc calibration standard of 1.54 volts for a new, undischarged carbon-zinc battery as a DC reference. But they are getting to be hard to find. :)
My Heathkit VTVM instructions recommended that for the initial calibration adjustment.
 

gar

Senior Member
Location
Ann Arbor, Michigan
Occupation
EE
140318-0916 EDT

GoldDigger:

I never had a Heathkit DC VTVM, but I somewhat recall the suggestion of a battery for its calibration.

I have a Heathkit scope and audio oscillator. Both still work in some fashion. The audio oscillator better than the scope. Whereas, my HP 200CD, 400H, and 412A do not. My Tektronix scopes are not working.

About my homemade DC voltage reference from 1964. I had a Boonton AC & DC Precision Calibrator at the time, but having a small simple 0.1, 1.0, and 10.0 source was convenient. So we made one. Probably was calibrated from the Booton. Boonton's use of the word precision did not mean extremely precise. I probably used a General-Radio potentiometer, 1454-A, to set the output voltages in combination with the HP 412 A as a null sensor.

Present characteristics of my voltage reference, 50 years after it was built. The following measurements were with a Beckman 4410. A side note: electrolytic capacitors of the 30s, 40s, and somewhat into the 50s weren't too good, poor life. By the 1960s they got better.

Last night shortly after power on, with 120 V and and varied from 80 V to 140 V, the 10 V output with 120 V in read 9.987 V. The unit was left on overnight with 120 V input.

This morning:

At 120 V in: the three outputs were 9.987-9.986, 0.9987, and 0.997 V.

Measured source resistance of the 10 V output.
9.987 V with 10 megohm meter load.
9.972 V with 1 megohm load.
9.847 V with 100 k load. Load current approximately 0.000,1 A.
Calculated internal resistance is (9.987-9.847)/1/10,000 = 10,000 * 0.14 = 1400 ohms.
This voltage change was 0.140 V, and note the change with the 1 meg load was 0.015. Looks close to a linear resistance.

Output voltage variation vs line voltage. Only load is the Beckman 4410.
080 V .... 9.976 V ...... capacitor 32 V about 12 mV ripple
090 V .... 9.980 V
100 V .... 9.981 V
110 V .... 9.983 V
120 V .... 9.986 V
130 V .... 9.987 V
140 V .... 9.988 V ...... capacitor 55 V
Peak change 90 to 140 V is 0.008 V.
Output ripple 0.60 mV.

Capacitor ripple is 12 mV.

The circuit basically consists of:
A homemade power transformer from Warrick parts.
A bridge rectifier.
1000 ufd 50 V Mallory capacitor.
Resistor to a 19 V Zener.
Another resistor from the 19 V preregulator to a temperature compensated 12 V
Zener diode.
Then a resistor divider network including Trimpots for each output voltage.

I have no idea how much drift has occurred in the basic calibration over the last 50 years. There is no frame of reference. There is likely little change.

The Boonton still works. It is based on an OA2 or similar voltage regulator tube. Still using the Beckman 4410 the Boonton characteristics are:
090 V .... 9.989 V
120 V .... 9.950 V
140 V .... 9.958 V
Peak change 90 to 140 V is 0.039 V.
Output ripple 0.12 mV.
Output internal resistance using 100 k load is 4.480 k ohms.

For those unfamiliar with measuring the output resistance of a DC supply or battery the following is a method.

Measure the open circuit voltage of the source. Assume the meter is an infinite input resistance, otherwise take its value into account.

Apply a known load current and measure the change in output voltage.
Rint = Vchange/Ichange. Do at another load current and compare. The apparent internal resistance may be somewhat different at different loads within a normal operating range of the source.

It may seem that some of these comments do not apply to the original post, but having an ability to work with Ohm's law in various ways should help get a better understanding of its use.

In working with vacuum tubes one would not usually describe the tube i-v curves in terms of Ohm's law. These are basically non-linear curves, and graphical analysis would be used.

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gar

Senior Member
Location
Ann Arbor, Michigan
Occupation
EE
140322-2112 EDT

Since I had the voltage reference on the bench I have had it on continuously since the previous measurements. Present 10 V output reading is 9.985 V with 120 V input. One night I turned off the input power for about 10 hours. From memory the initial turn on voltage was about 9.962 . Over a short time it warmed up and stabilized around the 9.985 V value.

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gar

Senior Member
Location
Ann Arbor, Michigan
Occupation
EE
140323-1250 EDT

I have questioned how did I originally calibrate my homemade voltage reference. The assumption in a previous post was that the Boonton calibrator was the reference. To try to verify this assumption I have powered the Boonton for about 16 hours at this time. The present difference between the Boonton and the homemade unit is 0.026 V at the nominal 10 V level. This is 0.026*100/9.985 = 0.26%.

The assumption looks good. Most likely the Boonton had the greatest aging over the last 50 years. This is supported by the observation that the homemade reference and the Beckman have held constant over the last 16 hours at 9.985 with a flutter of 0.001 V, and the Boonton difference has been drifting closer to my reference.

The original accuracy of the Beckman 4410 was listed at +/-0.07% +/-2 digits on the 20 V DC range. 0.07% of 20 V is 0.014 V. With a precise 10 V source the Beckman could read between 9.984 and 10.016 V.

.
 

gar

Senior Member
Location
Ann Arbor, Michigan
Occupation
EE
140323-1420 EDT

pegggu:

The following problem is directed to you.

A voltage reference like I have described has an open circuit voltage of precisely 10.0000 V, and an internal resistance of 1400 ohms. The internal resistance is assumed constant. You want to check the calibration of a Simpson 260 VOM on its 10 V DC range.

The rating of the Simpson is 20,000 ohms/volt. This means its meter movement is 50 microamperes full scale.

What is the actual voltage applied to the Simpson when it is connected to the voltage reference?

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