| High-impedance voltmeterPARTS AND MATERIALS  
                      
                      Operational amplifier, model TL082 
                      recommended (Radio Shack catalog # 276-1715) 
                      Operational amplifier, model LM1458 
                      recommended (Radio Shack catalog # 276-038) 
                      Four 6 volt batteries 
                      One meter movement, 1 mA full-scale 
                      deflection (Radio Shack catalog #22-410) 
                      15 kΩ precision resistor 
                      Four 1 MΩ resistors  The 1 mA meter movement sold by Radio Shack 
                    is advertised as a 0-15 VDC meter, but is actually a 1 mA 
                    movement sold with a 15 kΩ +/- 1% tolerance multiplier 
                    resistor. If you get this Radio Shack meter movement, you 
                    can use the included 15 kΩ resistor for the resistor 
                    specified in the parts list.  This meter experiment is based on a JFET-input 
                    op-amp such as the TL082. The other op-amp (model 1458) is 
                    used in this experiment to demonstrate the absence of 
                    latch-up: a problem inherent to the TL082.  You don't need 1 MΩ resistors, exactly. 
                    Any very high resistance resistors will suffice.    CROSS-REFERENCES  Lessons In Electric Circuits, Volume 
                    3, chapter 8: "Operational Amplifiers"    LEARNING OBJECTIVES  
                      
                      Voltmeter loading: its causes and its 
                      solution 
                      How to make a high-impedance voltmeter 
                      using an op-amp 
                      What op-amp "latch-up" is and how to avoid 
                      it    SCHEMATIC DIAGRAM  
                      
 
 ILLUSTRATION  
                      
 
 INSTRUCTIONS  An ideal voltmeter has infinite input 
                    impedance, meaning that it draws zero current from the 
                    circuit under test. This way, there will be no "impact" on 
                    the circuit as the voltage is being measured. The more 
                    current a voltmeter draws from the circuit under test, the 
                    more the measured voltage will "sag" under the loading 
                    effect of the meter, like a tire-pressure gauge releasing 
                    air out of the tire being measured: the more air released 
                    from the tire, the more the tire's pressure will be impacted 
                    in the act of measurement. This loading is more pronounced 
                    on circuits of high resistance, like the voltage divider 
                    made of 1 MΩ resistors, shown in the schematic diagram.  If you were to build a simple 0-15 volt 
                    range voltmeter by connecting the 1 mA meter movement in 
                    series with the 15 kΩ precision resistor, and try to use 
                    this voltmeter to measure the voltages at TP1, TP2, or TP3 
                    (with respect to ground), you'd encounter severe 
                    measurement errors induced by meter "impact:"  
                      Try using the meter movement and 15 kΩ 
                    resistor as shown to measure these three voltages. Does the 
                    meter read falsely high or falsely low? Why do you think 
                    this is?  If we were to increase the meter's input 
                    impedance, we would diminish its current draw or "load" on 
                    the circuit under test and consequently improve its 
                    measurement accuracy. An op-amp with high-impedance inputs 
                    (using a JFET transistor input stage rather than a BJT input 
                    stage) works well for this application.  Note that the meter movement is part of the 
                    op-amp's feedback loop from output to inverting input. This 
                    circuit drives the meter movement with a current 
                    proportional to the voltage impressed at the noninverting 
                    (+) input, the requisite current supplied directly from the 
                    batteries through the op-amp's power supply pins, not from 
                    the circuit under test through the test probe. The meter's 
                    range is set by the resistor connecting the inverting (-) 
                    input to ground.  Build the op-amp meter circuit as shown and 
                    re-take voltage measurements at TP1, TP2, and TP3. You 
                    should enjoy far better success this time, with the meter 
                    movement accurately measuring these voltages (approximately 
                    3, 6, and 9 volts, respectively).  You may witness the extreme sensitivity of 
                    this voltmeter by touching the test probe with one hand and 
                    the most positive battery terminal with the other. Notice 
                    how you can drive the needle upward on the scale simply by 
                    measuring battery voltage through your body resistance: an 
                    impossible feat with the original, unamplified voltmeter 
                    circuit. If you touch the test probe to ground, the meter 
                    should read exactly 0 volts.  After you've proven this circuit to work, 
                    modify it by changing the power supply from dual to split. 
                    This entails removing the center-tap ground connection 
                    between the 2nd and 3rd batteries, and grounding the far 
                    negative battery terminal instead:  
                     This alteration in the power supply 
                    increases the voltages at TP1, TP2, and TP3 to 6, 12, and 18 
                    volts, respectively. With a 15 kΩ range resistor and a 1 mA 
                    meter movement, measuring 18 volts will gently "peg" the 
                    meter, but you should be able to measure the 6 and 12 volt 
                    test points just fine.  Try touching the meter's test probe to 
                    ground. This should drive the meter needle to exactly 
                    0 volts as before, but it will not! What is happening here 
                    is an op-amp phenomenon called latch-up: where the 
                    op-amp output drives to a positive voltage when the input 
                    common-mode voltage exceeds the allowable limit. In this 
                    case, as with many JFET-input op-amps, neither input should 
                    be allowed to come close to either power supply rail 
                    voltage. With a single supply, the op-amp's negative power 
                    rail is at ground potential (0 volts), so grounding the test 
                    probe brings the noninverting (+) input exactly to that rail 
                    voltage. This is bad for a JFET op-amp, and drives the 
                    output strongly positive, even though it doesn't seem like 
                    it should, based on how op-amps are supposed to function.
                     When the op-amp ran on a "dual" supply 
                    (+12/-12 volts, rather than a "single" +24 volt supply), the 
                    negative power supply rail was 12 volts away from ground (0 
                    volts), so grounding the test probe didn't violate the 
                    op-amp's common-mode voltage limit. However, with the 
                    "single" +24 volt supply, we have a problem. Note that some 
                    op-amps do not "latch-up" the way the model TL082 does. You 
                    may replace the TL082 with an LM1458 op-amp, which is 
                    pin-for-pin compatible (no breadboard wiring changes 
                    needed). The model 1458 will not "latch-up" when the test 
                    probe is grounded, although you may still get incorrect 
                    meter readings with the measured voltage exactly equal to 
                    the negative power supply rail. As a general rule, you 
                    should always be sure the op-amp's power supply rail 
                    voltages exceed the expected input voltages.   |