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HP-Bench-Briefs-1990-04-06


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           HEWLETT
           PACKARD




                                             SERVICE INFORMATION FROM HEWLETT-PACKARD
                                                                                                                2nd Quarter 1990


Operational Ampllifier Basics
Introduction                                 The op amp is, therefore, an ideal         Ideal Op Amps With Negative
                                             building block for all kinds of analog     Feedback
It can be mathematically shown that          tasks. In practice, no single charac-
if an amplifier has:                         teristic listed above can be fully         The most common op amp circuit con-
I   an infinite high gain,                   achieved. The values that can be prac-     figuration uses two external compo-
                                             tically obtained are nevertheless such     nents: 1) an input component and 2)
I   an infinite bandwidth,                   that the resulting performance is          a feedback component (see Figure 3).
I   an infinite high input impedance,        extremely useful.                          When the feedback component is be-
    and                                                                                 tween the op amp output and the
I   a zero output impedance,                                                             -input, the circuit is said to have
                                                                                        negative feedback. When the feed-
then its characteristics can be totally      Op Amp Fundamentals
determined by external components
connected in feedback loops. Such an         An op amp is a very high gain dc                                                               I
                                             amplifier and usually has voltage                                       V+
"ideal" operational amplifier (op                                                                                     Power Supply
amp) is shown in Figure 1. Since RIN         gains in the range of 20,000 to
is infinite, there is no current flow into   1,000,000. The detailed schematic
                                             symbol of an op amp is shown in                   n
                                                                                           1 Input "    e   ~    i    n   g    ~
either input terminal and the differen-
tial input voltage is zero. If there is      Figure 2a with the simplified symbol
an output voltage Eo present, it can         shown in Figure 2b.                         Ioninverting                              output
                                                                                            Input
only be the result of an infinitesimal                                                                                Power
voltage at the input. These are                                                                                       Supply
theoretical considerations only.             As shown in Figure 2a, the -input
                                             of the op amp is called the inverting          Ground
                                             input, and the +input is called the
                                             noninverting input. If an input signal
                                             is applied to the -input, with +input                 Fig. 2a. Detailed schematic.
                                             grounded, the polarity of the output
                                             signal will be opposite to that of the
                                             input signal. If an input signal is
                                             applied to the +input, with the -in-
                                             put grounded, the polarity of the out-
                                             put signal will be the same as that of                                                0

                                             the input signal. For an ac signal, this
                                             means that the output of the op amp
                                             will be 180 degrees out of phase with                 Fig. 2b Simplified schematic.
                                             a signal applied to the - input, but in
                                             phase with a signal applied to the
Figure 1. "Ideal" Operational Amplifier       finput.                                   Figure 2. Op-amp schematic symbols




Pub. No. 5952-3458                                                                                                     Hewlett-Packard 1990
                                                 WWW.HPARCHIVE.COM
                                                                                         sum of the currents toward any point
                                                                                         in a network is zero) to the inverting-
                                                                                         input terminal of the op amp, it can
                                                   Feedback                              be seen that the input current must
                       IIN-                       Component                              be equal and opposite to the feedback
                                                                                         current. Extensive use will be made
                                                                                         of this important result:

                                                                                         IFB = -IIN

                                                                                         The Equivalent Circuit


1                                                                    I                  The schematic diagram of the op amp
                                                                                        with negative feedback may be
                                                                                        simplified, using the previous results,
                                                                                        to the equivalent circuit shown in
Figure 3. Op amp circuit with negative feedback
                                                                                        Figure 4.The equivalent circuit is ob-
                                                                                        tained by recalling that I,, is equal
back component is between the op            amplifies the differential input vol-       and opposite to I,, and so Figure 3
amp output and the +input, the cir-         tage (VIN) producing an output vol-         can be relabeled as shown in Figure 4.
cuit is said to have positive feedback.     tage (E,) with a polarity opposite to
                                            that of VIN. This output is fed back        Since VI, is nearly zero, the inverting
In Figure 3, an op amp is shown with        through the feedback component and          input of the op amp can be considered
negative feedback. EIN is the inut sig-     opposes the input voltage that pro-         to be at ground potential. This
nal, VI, is the differential input to the   duced it.                                   simplifies the diagram of Figure 4 to
op amp, and Eo is the op amp output.                                                    the important equivalent circuit
The open loop gain is defined as the        Because the negative feedback signal        shown in Figure 5.
ratio of E, to VIN:                         opposes the input signal, VIN is very
                                            small. Therefore, the higher the gain       The equivalent circuit shown in
                                            of the op amp, the smaller is VIN. In       Figure 5 shows why op amps with
Open-Loop Gain     =
                        EO
                        -                   fact, for some calculations, VIN can be     negative feedback are so useful. The
                                            assumed equal to zero and the invert-       input circuit is electrically isolated
                                            ing input at virtually the same poten-      from the output circuit, yet the cur-
The closed-loop gain is defined as the      tial as the noninverting input.             rent flowing through the input com-
ratio of Eo to EIN:
                                            The relationship between the input
                                            current (IIN)and the feedback current       'If V, were actually equal to zero, the output
                                                                                             ,
                              EO                                                        of the op amp would also be zero and the op
Closed-Loop Gain     = -                    (IFB) is most important. Assuming
                                            that VI, is equal to zero*, it follows      amp would be useless. In reality, VI, is a very
                                                                                        small voltage (usually less than a millivolt).But,
                                            from Ohm's law that no current can          for the purpose of calculating input and feed-
The open-loop gain is the gain of the       flow into the op amp. By applying           back currents, very little error is introduced by
op amp and this gain is independent         Kirchhoff's current law (the algebraic      approximating V,, as equal to zero.
of the input and feedback compo-
nents. The closed-loop gain, how-
ever, depends only on the values of                                                              tlN ---b
the input and feedback components                                                                    1
when the closed-loop gain of the cir-
cuit is much less than the large open-
loop gain of the op amp.                                          'IN-
                                                                                I             I--
                                                                l------
                                                                   Input
Input Current and Feedback                                       Component
                                                   El,
Current
                                                                                      i
                                                  P
When an input signal (EIN) is applied
to the circuit of Figure 3, a current
(IIN) flows through the input compo-
nent and a voltage (VIN) develops
                                                   I                                                                 r-
across the input terminals of the op
amp. The very high gain op amp               Figure 4. Negative feedback op amp circuit with equivalent feedback current shown




2   BENCH BRIEFS                                                                                                  2ND QUARTER 1990
                                                           WWW.HPARCHIVE.COM
                                                                                             equal to the E,, source impedance for
                                                                                             balancing purposes of the differential
                                                                                             input stage.
                        Component                                 Component


                                                                                             The Inverting Op Amp
                                                                                             EI, and E, are inverted as is indicated
                                                                                             by the negative sign for the gain (see


    I
    Figure 5. Equivalent circuit of Figure 4
                                                                                             Figure 10). R3may be included instead
                                                                                             of a ground connection of the nonin-
                                                                                             verting input only because of a less
                                                                                             than ideal amplifier (less than infinite
                                                                                             input impedance). R, should be equal
                                                                                             to R,, again for balancing purposes.
    ponent dictates what current must           Table 1. Table of Circuit Functions          If the characteristics are close enough
    flow through the feedback compo-                  Circuit            Input
                                                                                             to ideal, then input B is at ground
    nent. By choosing different input and            Function         :omponents             level. By definition, input A must also
    feedback components, different cir-                                                      be at ground level since there shall be
                                                              .
    cuit functions can be performed. The         1     ..I.
                                                                       Resistor              no potential difference between in-
                                                                       Resistor
    circuit functions listed in Table 1 will                           Capacitor
                                                                                             puts A and B. Point A is called a vir-
    be discussed later in this article.                                                      tual ground.




    Figure 6. Simple voltage divider            Figure 7. Simple voltage divider set at      Figure 8. Simple voltage divider with op
                                                50 percent                                   amp providing isolation

    Figures 6 and 7 illustrate a very simple    feedback. An op amp connected in
    concept in conjunction with an op           this way is often referred to as a voltage
    amp. The potentiometer P is used as         follower or an impedance converter.
    a variable voltage divider and the vol-
    tage delivered to the load is in a linear   An additional characteristic that is im-
    ratio with the shaft rotation. This will    portant for an op amp is stability. If
    only be the case if the load is an infi-    the input is zero, the output will also
    nite resistance, or is very high in com-    be zero. The op amp must be free of
    parison to the resistance of P. As an       drift or offset voltage.
    example, if P and the load are each
    10 kilohms and P is set at 50 percent,
    the division ratio will not be 1/2 but      The Noninverting Op Amp
    2/5, as shown in Figure 7.
                                                In the configuration shown in Figure
    If an op amp is connected between           9, E,, and E, are in phase. The closed            GAIN = 1 FOR R = 0 OR R, = co
                                                                                                                ,
    the movable contact of P and the load       loop gain is controlled by the ratio of             R,,   CO
    as shown in Figure 8, the op amp will       R, and R,. If R, = 0, then the amplifier

r
                                                                                                      I, = 1, INDEPENDENT OF R2
    provide perfect isolation. The op amp       is simply a voltage follower and R,
    must have a closed loop gain of one.        becomes meaningless. However, in
    This is possible with a 100 percent         practical applications, it will be made      Figure 9. Simple noninverting op amp




    2ND QUARTER 1990                                  WWW.HPARCHIVE.COM                                             BENCH BRIEFS 3
                                                                                                                               I




                                                                                      Figure 12. Simple differential operational
                                                                                      amplifier
Figure 10. Simple inverting operational
amplifier


                                           Figure 11. Simple summing operational
                                           amplifier


The Summing Op Amp                         small signals in the presence of 60        ity of EIN. If E,, is a symmetrical
                                           Hertz noise. The 60 Hertz noise com-       square wave, Eo will be a triangle
The summing op amp shown in                mon to both inputs is rejected and the     wave. For E,, = sin X the output is
Figure 11 is simply an inverting op        op amp amplifies only the small signal      -cos X. The output leads the ;nput
amp with multiple inputs. Since input
A is a virtual ground, there can be no
                                           difference between the two inputs.         by 90".                                      "\
current flowing over A from one input      Note that an ideal differential op amp
into another input. The total input        produces neither a differential-mode
                                           nor a common-mode output in re-
                                                                                      The Differentiator Op Amp
current is I, = I,. The number of
inputs is only limited by practical        sponse to a common-mode interfer-
                                           ence input.
                                                                                      As shown in Figure 14, Eo is propor-
considerations.                                                                       tional to the rate of change of the
                                                                                      input voltage. A dc input will make
                                                                                      Eo = 0 because of the blocking
The Differential (Subtracting)             The Integrating Op Amp                     capacitor C . A square wave at the
OP Amp                                                                                input will produce a spike at the out-
                                           The simple integrating op amp shown        put triggered by the leading and trail-
If the same signal is applied to both      in Figure 13produces an output signal      ing edges of the input signal. Because
the +input and the -input of the op        proportional to the integral of the        the top of the square wave is a con-
amp shown in Figure 12, the two            input signal and time variable of the      stant value, the differential factor is
amplified output signals will be 180       resistance and capacitance charging        zero and the integrating capacitor dis-
degrees out of phase and will com-         rate. The capacitor connected across       charges towards zero.
pletely cancel each other. Since the       the input and output of the inverting
op amp responds only to differences        op amp improves the performance by
between its two inputs, it is said to      what is called the Miller Effect. The
be a differential amplifier. The voltage   Miller Effect says that a capacitor con-   The Logarithmic Converter
difference between the +input and          nected as shown appears to the input       OP Amp
the -input is called the differential      as being multiplied by the gain of the
input voltage. Since a differential        amplifier.                                 If a nonlinear element such as a trans-
amplifier amplifies only the differen-                                                istor is connected into the feedback
tial input voltage and is unaffected by    If R = 1 megohm and C = 1 micro-           path as shown in Figure 15, E,, versus
signals common to both inputs, it is       farad, according to the formula            Eo follows a nonlinear function. The
said to have common-mode rejection.        shown in the figure, Eo will increase      base-emitter junction of Q, represents
Common-mode rejection can be very
useful, for example, when measuring
                                           at a rate of 1volt per second, positive
                                           or negative, depending on the polar-
                                                                                      the logarithmic element in the feed-
                                                                                      back loop.
                                                                                                                                   -3


4   BENCH BRIEFS                                          WWW.HPARCHIVE.COM                                 2ND QUARTER 1990
                                                                                             I




Figure 13. Simple integrating operational amplifier


The Antilog O p Amp
By placing the nonlinear element in                                                          Figure 14. Simple differentiator
the input path as shown in Figure 16,                                                        operational amplifier
the circuit becomes an antilog conver-
ter. For a logarithmic input E*,, the
output E, will be a linear signal.
Multiplication (Division) With
Log-Antilog Operational
Amplifiers
Since log A + log B = log AB, and
log A - log B = log A/B, a circuit
using two log converters and a sum-
ming (subtracting) amplifier, fol-
lowed by an antilog converter, will
output the product or the division of
the two input signals. Figure 17 illus-       Figure 15. Simple logarithmic converter        Figure 16. Simple antilog op amp
trates the circuit for multiplication.        operational amplifier




                                                                                                 SUMMING
                                                                                                                 ANTILOG AMPLIFIER




                                                                                                 LOG A   +   LOG 0




                                              Figure 17. Multiplication circuit using log and antilog operational amplifiers




2ND QUARTER 1990                                  WWW.HPARCHIVE.COM                                                     BENCH BRIEFS   5
               TUNECONTROL
               POWER SUPPLY                                                                    SWEEP
           - 5 VOLT ADJ                                                                            v


                                                                            TUNE BUFFER                R21
                                                                      RlO                              1 0 ~ SWEEP   + TUNE
                                                                                       6    5000
                                                                                                                              OUT
                                      -
                                      -




                                     - 15V




Figure 18. Typical op amp application as     Typical Op Amp Circuit                        summing amplifier for the tuning and
an impedance converter (&), isolator
                                             Figure 18 illustrates a typical example       sweep voltage.
(U,), and summing amplifier (U,)
                                             op amp application. The task is to pro-
                                             duce and mix a tuning voltage with a          If you desire a more detailed and in-
                                             sweep ramp for a YIG oscillator. U6           depth discussion of op amps, I
                                             operates as an impedance converter            suggest that you read Understanding
                                             for the zener diode CR1. Rloo pro-            IC Operational Amplifiers, by Roger
                                             duces the tuning voltage that is iso-         Melen and Harry Garland, available
                                             lated by U7.  Finally, U4operates as a        from Howard W. Sams & Co.          0




Safety-Related Service Notes
Service notes from HP relating to per-       routine dielectric withstand test             wires being improperly connected in-
sonal safety and possible equipment          (HIPOT). This service note applies to         side the transformer. The result is that
damage are of vital importance to our        instruments within the serial number          when operating on the 220 volt line
customers. To make you more aware            range of 2845A00101/2935A00114. If            setting, the line fuse blows. Both the
of these important notes, they are           you own one of these HP E2500As,              line module and power transformer
printed on paper with a red border,          you may return it to your nearest HP          must be replaced at an HP Customer
and the service note number has an           Customer Service Center for the               Service Center. Do not attempt to re-
"4" suffix. In order to make you im-         HIPOT test, which will be conducted           wire the transformer as this will in-
mediately aware of any potential             free of charge.                               validate the color coding used on the
safety problems, we are highlighting                                                       wires.
safety-related service notes here with
a brief description of each problem.
Also, in order to draw your attention        HP 5347A & 5348A Counter/                     Safety Service Notes 5347A-03A-S
                                                                                           and 5348A-03A-S concern the re-
to safety-related service notes in the       Power Meters                                  moval of unsafe carrying straps. This
service note index, each appropriate
safety-related service note is high-                                                       service note applies to all units. The
lighted with a contrasting color.            Safety Service Notes 5347A-02-S and           clips on the ends of the carrying
                                             5348A-02-S describe an incorrectly            straps, which are part of Option 060
                                             manufactured power transformer.               are defective and may fail in the nor-
HP E2500 Frequency Agile                     The serial numbers affected are               mal use of the instrument. Damage
Signal Simulator                             2924A00101-158 and 160-170 for the            to the instrument and/or injury to per-
                                             HP 5347 and 2924A00101-120 for the            sonnel may occur. The defective
Safety Service Note E2500A-01-S de-
scribes how to safety check the
                                             HP 5348. The manufacturing error
                                             concerns the transformer primary
                                                                                           straps are identifiable as being non-ad-
                                                                                           justable in length. Also, there is con-
                                                                                                                                      1

6   BENCH BRIEFS                                            WWW.HPARCHIVE.COM                                    2ND QUARTER 1990
    cern over the strength of the front       HP 8340A/B Synthesized                       mains transformer's insulation.
    panel casting at the carrying strap       Sweepers
    holes. Mis-application of a customer                                                 If your instrument is one of the above,
    furnished strap may apply sufficient      HP 8341A/B Synthesized
                                                                                         please return the unit to an HP Cus-
    leverage by weight of the instrument      Sweepers                                   tomer Service Center for repair.
    to cause breakage. No strap or other      HI' 8719A Network Analyzers
    carrying appliance should be con-         HI' 8720A/BNetwork Analyzers
    nected at these points.                                                              HP 8757C/E Scalar Network
                                              The following Safety Service Notes         Analyzer
    Please remove the non-adjustable          describe possible injury from falling
    strap from the unit and return it to      instruments due to damaged front           Safety Service Note 8757C/E-02-S de-
    the following address. A new adjust-      panel handles.                             scribes a possible defective lithium
    able strap will be returned to you, in                                               battery contained on the CPU board
    addition to a pair of plastic plugs to    8720A-054, 872OB-Ol-S, 8719A-Ol-S,         of the instrument. The battery may
    block the front panel carrying strap      8340A-30-S, 8340B-30-S, 8341A-30-S,        leak electrolyte and damage the
    attachment holes.                         8341B-30-S                                 board. Symptoms include yellowing
                                                                                         around the battery or in some cases,
                                                                                         corrosion of the board and other
                                              If damaged handles are used to lift or     boards in close proximity. The Safety
      Joe Dore 52U/19                         support the instrument, the handles        Service Note contains a list of applic-
      Hewlett-Packard Co.                     will break causing the instrument to       able serial numbers. Please return
      5301 Stevens Creek Blvd.                fall, possibly resulting in personal in-   your unit to the nearest HP Customer
      Santa Clara, CA 95052-8059              jury. Exercise caution when using the      Service Center for repair.
                                              front handles to lift the instrument.
                                              The damaged handles will be re-
                                              placed at an HP Customer Service
    The solution to making the instru-        Center, or you may order the front         HP 85620A Mass Memory
    ment portable is the design of a soft     handle replacement kit free of charge      Module
    carrying case. This case has been de-     (HP PIN 5062-3990) and perform the
    signed to enhance portability with        replacement following the instruc-         Safety Service Note 85620A-03-S de-
    tough cordura nylon double-stitched       tions in the product's service manual.     scribes a possible defective lithium
    construction that is padded on all six                                               battery contained on the mass mem-
    sides. The permanently attached ad-                                                  ory module of the instrument. The
    justable strap provides a much safer                                                 battery may leak electrolyte and dam-
    means of carrying the product and al-     HP 8657B Synthesized Signal
                                              Generator                                  age the board. Symptoms include yel-
    lows easy measurements with the                                                      lowing around the battery or in some
    unit suspended from the shoulder.                                                    cases, corrosion of the board and
                                              Safety Service Note 86578-01-S de-         other boards in close proximity. The
                                              scribes a possible shock hazard that       serial number range of affected instru-
    If you originally purchased the prod-     may exist if the instrument's toroidal     ments is 0000A00000/3003A00604. If
    uct with the Option 060 portability op-   mains transformer's insulation has         you possess one of the affected units,
    tion and have returned the strap as       been damaged by the A14 assembly's         please return it to the nearest HP Cus-
    previously requested, you will receive    heatsink. The units affected are           tomer Service Center for repair.
    this new soft carrying case at no
                                              within the following serial number
    charge.
                                              ranges:
                                                                                         HP 86792A Agile Upconverter
    If you did not order Option 060 and
    wish to buy the soft carrying case,                                                  Safety Service Note 86792A-02-S de-
    order HP P/N 05348-60214. The price                                                  scribes how to safety check the
    is $295 U.S. list.                                                                   routine dielectric withstand test
                                                                                         (HIPOT). This service note applies to
                                              The HP 86578 may present a shock           instruments within the serial number
    For those customers ordering the in-      hazard only if the following condi-        range of 2814A00105/2814A00108. If
    strument and specifying the portabil-     tions exists:                              you own an HP 86792A within the
    ity option, please be advised that Op-                                               serial number range listed, you may
    tion 060 has been discontinued. The       0   The mains transformer has not been     return it to your nearest HP Customer

r   portability option is now the soft car-
    rying case and is listed as Option 070,
    $295 U.S. list.
                                                  manufactured by "NUVOTEM"
                                                  and
                                                  The A14 heatsink has damaged the
                                                                                         Service Center for the HIPOT test,
                                                                                         which will be conducted free of
                                                                                         charge.                             0




     2ND QUARTER 1990                              WWW.HPARCHIVE.COM                                           BENCH BRIEFS    7
The Logistics Data Book 1990
The Logistics Data Book is designed to       and two numbers after the model
assist Hewlett-Packard's government          number (e.g., HP 1234A OptionH02).
customers with their logistics needs         Modifications and systems may be          0
associated with the support of HI'           identified in HP literature with a
products. Information is drawn from          single alpha and two digits preceding
HI' records and Department of De-            the model number (e.g., E12-1234A).
fense information. It reflects logistics
actions through October, 1989.               For procurement purposes, all op-
                                             tions and modifications in this book
The types of HP products covered in          follow the model numbers and are
                                             connected to them by hyphens (e.g.,       0
this publication include electronic
components, medical instruments              1234-001 and 1234A-E12). Where
and systems, computer equipment,             space is limited, option numbers may
calculators, instruments and systems         be shortened to less than three charac-
for chemical analysis, and electronic        ters (e.g., 1234A-01-02-EI2).
test and measuring systems.
                                             Model numbers are arranged in typi-
                                             cal computer sequence (i.e., left-jus-
The intent of the Logistics Data Book        tified, alpha-numeric sequence) so
is to include HP model numbers and           that all the "1s" (Model 1, 11, 111,
their various options that are pur-          1111, etc.) are listed before the "2s"
chased by government customers.              (Model 2, 22, 2222, etc.).
Additional information on all HP                                                       If you h ve any comments or sugges-
parts having National Stock Numbers          The Hewlett-Packard office nearest        tions about how we can make the
may be found in the microfiche NSN/          you will be pleased to work with you      Logistics Data Book more useful to you,
HI' Cross Reference (Publication No.         on procurement matters. Also note         please let us know by writing to:
5957-4171).                                  that the most currently-produced HP
                                             products are on GSA federal supply
Options are usually identified in HP         schedule multi-award contracts, and           Hewlett-Packard Co.                    ,"\
product literature by a three-digit          that GSA catalogs are available from          U.S. Field Operations
number following the model number            your HP office. To order your Logistics       John Cloutier
(e.g., HP 1234A Option 003). Other           Data Book, specify publication no.            19320 Pruneridge Avenue
options may be designated as a letter        5954-7744.                                    Cupertino, CA 95014               0




What is Traceability and How Does It Relate to Calibration
Uncertainty?
 Jim Becktold                                the standards used to calibrate these     able. The desired ratio of accuracy be-
 Hewlet t-Packard                            standards, and so on back to the re-      tween a source instrument and one
 Traceability is proof that measure-         ports issued by national laboratory       to be calibrated is 1O:l. If this cannot
 ments can be attributed to a national       standards.                                be met, it is permissible to reduce the
 standard. The process involves the                                                    ratio downward to a lower limit of 4:l.
 "tracing" of measurement compari-           Calibration uncertainty is the ability
 sons made between the instrument            to quantify the error sources present     This ratio is calculated by dividing the
 used and the national laboratory.           in the calibration measurement.           tolerance of the measurement to be
 Technically, traceability involves the      Knowing that the act of making mea-       made (e.g., 5%) by the tolerance as-
 ability to quantify the measurement         surements is experimental, there          signed to the instrument used to
 errors present in the test or measure-      have to be some guidelines that tell      make the measurement (e.g., 1%). In
 ment process in terms of the national       the person doing the measurement          this example of accuracy, the ratio
 standards. Agencies require us to ob-       that the job is being performed satis-    would be 5:1.
 jectively demonstrate that traceability     factorily. A rule-of-thumb method
 exists. Usually through a series of re-     called the "accuracy ratio" is used in    In some of today's instrumentation,
 ports attesting to the calibration of the
 instruments used in a test situation,
                                             many laboratories to determine
                                             whether the uncertainty is reason-
                                                                                       the instrument being calibrated is al-
                                                                                       most as accurate as the source device,
                                                                                                                                    1


 8   BENCH BRIEFS                                           WWW.HPARCHIVE.COM                                2ND QUARTER 1990
     and therefore at a ratio of less than     each meter. Figure 1 shows a range
     4:l. In this situation, the method of     from 97.16 to 97.24 volts, and Figure

C    calibration used is called "enhanced
     accuracy calibration." To achieve en-
     hanced accuracy it is necessary to
                                               2 shows a range from 99.1 to 100.7
                                               volts.

     utilize a higher echelon standard dur-    When we compare the ranges of the
     ing the calibration process. This will    two meters we find that meter #1 has
     provide as much as another order of       a spread of 0.08 volts and meter #2
     magnitude to the source equipment,        has a spread of 1.6 volts. This defines    Figure 1. Reading of Meter #1
     which widens the ratio between the        meter #1 as having 20 times the preci-
     two instruments to maintain a good        sion than meter #2 has (i.e., 1.6/.08
     confidence level. We recommend that        = 20).
     when you get below 4:1, contact your
     metrologist for advice.
                                               But meter #2 is closer in its readings
     A more specific method of determin-       to 100.00 volts, which indicates that
     ing uncertainty involves understand-      precision by itself does not necessarily
     ing the types of errors that exist dur-   produce accuracy. Meter #2 is more
     ing measurement and calibration, and      accurate than meter #l.
     ways of avoiding the most serious
     ones.                                     Now, as shown in Figure 3, if meter        Figure 2. Reading of Meter #2
                                               #1 were recalibrated, with adjust-
     But before we get into the three types    ment, to agree with the "perfect"
     of errors, we should define two terms     calibration source, the spread of its
     used in measurement that are quite        readings would likely range from
     often confused -accuracy and precision.   99.96 volts to 100.04 volts (a spread
                                               of 0.08 volts). While this shows that
                                               precision and accuracy combine to pro-
     Accuracy                                  vide greater confidence in the use of an
     The accuracy of a measurement is an       instrument, the two are truly inde-
                                               pendent. However, the best of both
rp   expression of the closeness of its re-
     sult to the true value. A high accuracy   are desirable in any measurement
                                                                                          L
                                                                                          Figure 3. Altered Reading of Meter #1
     indicates a close approach to the true    situation.
     value.

                                               Errors in Measurement                      Systematic Errors
     Precision
     The precision of a measurement is a       There are three types of errors by         Systematic errors relate to the in-
     measure of its repeatability. A high      which you may be confronted. They          strumentation or external influences
     precision indicates the ability to re-    are: gross errors, systematic errors,      to the instruments. Systematic errors
     peat measurements within narrow           and random errors.                         cause the measured value to be offset
     limits.                                                                              by a fixed amount, as contrasted to
                                               Gross Errors                               random errors, which are bipolar in
     These two definitions form the basis                                                 nature.
     for everything else that follows rela-    These errors are strictly under the
     tive to measurement and calibration.      control of the individual, totally         One example may be loading. All
     The ultimate goal is to achieve both      separate from the instrumentation.         measuring systems are intrusive.
     accuracy and precision in every mea-      Example of gross errors are:               That is, no matter what type of device

                                               -
     surement and in every calibration.                                                   is used to make a measurement, it
                                                                                          will have some effect on the system
     To eliminate the confusion that nor-           Misreading the instruments            being measured.
     mally exists between accuracy and         1    Making an incorrect adjustment
     precision, the following example will                                                Consider the fact that no voltage
                                                    Applying instruments improperly
                                               -.
                                               1
     serve to show the difference.                                                        source has the ideal zero impedance,
                                                    Computational errors                  and no current source has the ideal
                                                    Recording interpolated data           infinite impedance.
     Example

r    Assume that two meters are used to
     measure a perfect 100.00 volt power
     source. Ten readings are taken with
                                               As can be seen, these are errors that
                                               can be avoided by care and attention.
                                                                                          A voltage source may have a source
                                                                                          resistance of as little as 0.01 ohm, and
                                                                                          the ability to supply current of 25 mil-




      2ND QUARTER 1990                                WWW.HPARCHIVE.COM                                         BENCH BRIEFS      9
liamps at 10 volts output. The internal   Random uncertainties are of a type          tions can be made regarding random
voltage drop could then be 250 micro-     that lend themselves to statistical         errors:
volts, which represents 25 ppm of the
10 volt output (0.0025%). In addition,
                                          analysis, since they can be considered
                                          to vary either positively or negatively         The closest value to the true value      /7
assume that the connecting leads          around the measured value. They are             is the mean value
have 10 milliohms of resistance. The      due to totally unknown causes, and          1   It is likely that values close to the
voltage drop across the leads would       are detectable when repeated mea-               mean value will be more numerous
add another 250 microvolts of error,      surements are made with a seemingly             than values that are far away from
or 25 ppm. These two elements alone       constant set-up and consistent                  the mean value
constitute an error of 50 ppm, or         technique by the user.
0.005%. Note that the obvious way                                                         There are likely to be as many read-
to avoid these errors is to use 4-wire    An example may be a variation in im-            ings that lie above the mean value
remote sensing whenever the load is       pedance matching in high frequency              as there are those that lie below the
less than 1 megohm.                       instruments due to changes in charac-           mean value
                                          teristics when the lead connectors are
Random Errors                             removed and replaced. This may be           It is the general nature of a measured
                                          due to the wear, or contamination, of       variable that there will be a distribu-
These errors are indicated as a scatter   BNC connectors, which are quite sus-        tion of values (both plus and minus)
about an average when a multiple          ceptible to this behavior.                  around the true, or actual, value.
number of measurements are taken.
This can be the result of variations in   When a succession of measurements           Note that it is never possible to know
the measuring system, or changes in       are made which differ one from              the true value, since there will always
the quantity being measured.              another, some preliminary observa-          be some small error.                  0




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                                  1990 Bench Briefs' Instrument
                                       Service Note Index

        SN   SN                                        Abstract                                       Service Note
        Type No.                                                                                         Package


        MA   436A-16B       Recommended replacement display driver assembly                                       017
        MR   437B-03        Modification to prevent erroneous power meter readings                                019
        MR   437B-04        Mod. to overvoltage protection circuit                                                020
        MR   438A-10        Recommended A4C14 and A4C16 capacitor replacement to improve performance 017
        IO   1630A/D/G-14   Display system components available as a matched set (2090-0227)                      021
        IO   163lA/D/G-14   Display system components available as a matched set (2090-0227)                      021
        IO   165OA-09       Repair procedure for POD cable connectors J1-J5 (HP P/N 1251-8158)                    017
        IO   1650B-01       Repair procedure for POD cable connectors J1-J5 (HP P/N 1251-8158)                    017
        IO   165lA-09       Repair procedure for POD cable connectors J1-J5 (HP P/N 1251-8158)                    017
        IO   1651B-01       Repair procedure for POD.cable connectors J1-J5 (HP P/N 1251-8158)                    017
        MR   3314A-03       Mod. to correct improperly crimped cooling fan power leads                            020
        IO   3562A-11       Instructions on how to service the HP 3562A Signal Analyzer with Option 063           019
        MR   3563A-01       Modification prevents instrument lock-up when using systhesis table                   022
        IO   3577A-14       Required modification when replacing U13 on the A1 board                              022
7       MA   3586A/B/C-13   Modification available when replacing U1 and U29 on A61 board                         023
        IO   3586A/B/C-14   Instructions on removing the internal Ni-cad battery for extended storage             023
        SA   3588A-01-S     Notification that the fuse label contains the wrong replacement fuse information      022
        MR   3588A-02       Metal flakes settling on the motherboard may cause intermittent H/Werrors             022
        IO   3708A-17       Semi-automatic performance test for the HP 3708A                                      017
        IO   3708A-18       Preferred repl. for capacitor A501C5 on the power supply high current assy.           019
        IO   3708A-19       Preferred replacement for D/A Converter A204U7 on the Var. Gain Cntl. Assy.           021
        IO   3709B-04       Preferred repl. for the Mod. Scheme Switch A3S2 on the microprocessor assy.           019
        IO   3746A-34A      Preferred repl. for the Fract. N cir. A3OU16) on the Fract. N divided by N assy.      017
        IO   3746A-35       Changes to the 3.1 kHz channel filter adjustment                                      017
        IO   3746A-36       Preferred repl. for the 50 MHz crystal (A40Y90) on the A40 Frequency Ref. Assy.       019
        IO   3776A-36       Preferred repl. of transistorsA7Q21 and A7Q22                                         019
        IO   3776A-37       Preferred replacement of A3U33 and A204U47                                            021
        IO   3776B-44       Preferred replacement of A3U33 and A204U47                                            021
        IO   3779A-61       Preferred replacement for EPROMS A24, U31 and U41                                     020
        IO   3779A-62       Firmware upgrades                                                                     021
        IO   3779B-65       Firmware upgrades                                                                     021
        IO   3779C-12C      Preferred repl. board assemblies that comply with VDE specifications                  019
        MA   3779c-43       Small modification required when replacing A16 Assembly                               019
        IO   3779c-44       Alternative recommended test equipment for performance tests                          021
        IO   3779D-12C      Preferred repl. board assemblies that comply with VDE specifications                  019
        MA   3779D-47       Small modification required when replacing A16 Assembly                               019
        IO   3779D-48       Alternative recommended test equipment for performance tests                          021
        MA   3787B-04E      Newer features can be retrofitted to earlier 3787B instruments                        019
3       IO   3787B-09       Notification of



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