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TechInfo_LoV-LoR


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                                                                         Technical                                                  Low Voltage/Low Resistance
                                                                         Information                                                Measurements
                                                                         How to Select a Voltmeter                                                                                                                   From this equation, it can be observed that
                                                                                                                                                                                           HI
                                                                         Many kinds of instruments can measure voltage,                                                                                              Johnson noise may be reduced by lowering the
Technical information: Low voltage/low resistance measurement products




                                                                                                                                               Experiment                                  Nanovoltmeter
                                                                                                                                                                  VS                VIN
                                                                         including digital multimeters (DMMs), electrometers,
                                                                                                                                                (source)
                                                                                                                                                                               R
                                                                                                                                                                                           LO
                                                                                                                                                                                                                     temperature and by decreasing the bandwidth of
                                                                         and nanovoltmeters. Making voltage measurements                                                                                             the measurement. Decreasing the bandwidth of
                                                                         successfully requires a voltmeter with significantly       Ground 1
                                                                                                                                                             I
                                                                                                                                                                                                          Ground 2
                                                                                                                                                                                                                     the measurement is equivalent to increasing the
                                                                         higher input impedance than the internal impedance
                                                                                                                                                                       Ground bus                                    response time of the instrument; thus, in addition
                                                                         (source impedance) of the device under test (DUT).
                                                                                                                                                                            VG
                                                                                                                                                                                                                     to increasing filtering, the bandwidth can be reduced
                                                                         Without it, the voltmeter will measure less potential                  Input voltage to the nanovoltmeter is:                               by increasing instrument integration (typically in
                                                                         difference than existed before the voltmeter was
                                                                                                                                                VIN = VS + I R                                                       multiples of power line cycles).
                                                                                                                                                                      Resistance of input LO connection
                                                                         connected. Electrometers have very high input impe-                                          (typically around 100mW)                       Ground Loops
                                                                         dance (typically in the order of 100TW [1014W]), so                                          Current passing through input LO
                                                                                                                                                                      connection due to ground                       When both the signal source and the measurement
                                                                         they're the instrument of choice for high impedance                                          voltages (VG) in the ground bus                instrument are connected to a common ground bus,
                                                                                                                                                                      (magnitude may be amperes).
                                                                         voltage measurements. DMMs and nanovoltmeters                                                                                               a ground loop is created (Figure 2a). This is the case
                                                                                                                                                                      Source voltage (desired signal)
                                                                         can typically be used for measuring voltages from                                                                                           when, for instance, a number of instruments are
                                                                         10MW sources or lower. Nanovoltmeters are appro-                        I R may exceed VS by orders of magnitude.
                                                                                                                                                                                                                     plugged into power strips on different instrument
                                                                         priate for measuring low voltages (microvolts or less)                                                                                      racks. Frequently, there is a difference in potential
                                                                         from low impedance sources.                                Figure 2a. Multiple grounds (ground loops)
                                                                                                                                                                                                                     between the ground points. This potential differ-
                                                                                                                                                                                                                     ence--even though it may be small--can cause large
                                                                         Low Voltage Measurements                                                                                                                    currents to circulate and create unexpected voltage
                                                                                                                                                                                          HI
                                                                         Significant errors may be introduced into low                     Experiment                                     Nanovoltmeter              drops. The cure for ground loops is to ground the
                                                                                                                                            (source)             VS                VIN
                                                                         voltage measurements by offset voltage and                                                        R
                                                                                                                                                                                          LO                         entire measurement circuit at only one point. The
                                                                         noise sources that can normally be ignored when                                                                                             easiest way to accomplish this is to isolate the DUT
                                                                         measuring higher signal levels. Steady offsets can                              I
                                                                                                                                                                                                                     (source) and find a single, good earth-ground point
                                                                         generally be nulled out by shorting the ends of the               ZCM                                                          Single
                                                                                                                                                                                                        System       for the measuring system, as shown in Figure 2b.
                                                                         test leads together, then enabling the instrument's                                          Ground bus
                                                                                                                                                                                                        Ground
                                                                                                                                                                                                                     Avoid grounding sensitive measurement circuits to
                                                                         zero (relative) feature. The following paragraphs                                                VG                                         the same ground system used by other instruments,
                                                                         discuss non-steady types of error sources that can                                                                                          machinery, or other high power equipment.
                                                                                                                                               Input voltage to the nanovoltmeter is:
                                                                         affect low voltage measurement accuracy and how to                    VIN = VS + I R
                                                                         minimize their impact on the measurements.                                                                                                  Magnetic Fields
                                                                                                                                                                  Current passing through ZCM (MW or
                                                                                                                                                                  GW) due to VG and currents in the                  Magnetic fields generate spurious voltages in two
                                                                         Thermoelectric EMFs                                                                      source (magnitude is typically nA's).
                                                                                                                                                                                                                     circumstances: 1) if the field is changing with time,
                                                                         The most common sources of error in low voltage                       VIN  VS, since I R is now insignificant compared to VS.
                                                                                                                                                                                                                     and 2) if there is relative motion between the circuit
                                                                         measurements are thermoelectric voltages (thermo-                                                                                           and the field (Figure 3a). Changing magnetic fields
                                                                         electric EMFs) generated by temperature differences        Figure 2b. Single system ground                                                  can be generated from the motion of a conductor
                                                                         between junctions of conductors (Figure 1).                                                                                                 in a magnetic field, from local AC currents caused
                                                                                                                                    Minimizing temperature gradients within the                                      by components in the test system, or from the
                                                                                A          B            A                           circuit also reduces thermoelectric EMFs. A way to                               deliberate ramping of the magnetic field, such as for
                                                                                     T1          T2
                                                                                                               HI                   minimize such gradients is to place all junctions in                             magnetoresistance measurements.
                                                                                                       VAB                          close proximity and provide good thermal coupling                                 a.       Area A (enclosed)
                                                                                                               LO
                                                                                                                                    to a common, massive heat sink. If this is impracti-
                                                                                                                    Nanovoltmeter
                                                                                                                                    cal, thermally couple each pair of corresponding                                       DUT
                                                                                                                                    junctions of dissimilar materials to minimize their
                                                                                                                                                                                                                                                                            Voltmeter
                                                                                                                                    temperature differentials which will also help
                                                                                                                                                                                                                           B
                                                                              The thermoelectric voltage developed by dissimilar    minimize the thermoelectric EMFs.
                                                                              metals A and B in a circuit is:                                                                                                                        The voltage developed due to a field passing
                                                                                                                                    Johnson Noise                                                                                    through a circuit enclosing a prescribed area is:
                                                                              VAB = QAB ( T1 



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