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Op Amp Circuit Collection
                                                                        National Semiconductor
  Op Amp Circuit Collection                                             Application Note 31
                                                                        September 2002




  Note: National Semiconductor recommends replacing 2N2920 and 2N3728 matched pairs with LM394 in all application
  circuits.

  Section 1—Basic Circuits
                           Inverting Amplifier                                                Non-Inverting Amplifier




                                                                                                                               00705702
                                                             00705701




                          Difference Amplifier                                            Inverting Summing Amplifier




                                                          00705703
                                                                                                                             00705704




                                                                        R5 = R1//R2//R3//R4
                                                                        For minimum offset error due to input bias current


  For minimum offset error due to input bias current                                                                                              AN-31




© 2002 National Semiconductor Corporation              AN007057                                                                www.national.com
AN-31
           Section 1—Basic Circuits                     (Continued)

                           Non-Inverting Summing Amplifier                              Inverting Amplifier with High Input Impedance




                                                      00705705
           *RS = 1k for 1% accuracy




                                                                                                                                             00705706
                                                                                 *Source Impedance less than 100k gives less than 1% gain error.


               Fast Inverting Amplifier with High Input Impedance                                   Non-Inverting AC Amplifier




                                                                                                                                          00705708




                                                                      00705707




        www.national.com                                                    2
AN-31
Section 1—Basic Circuits             (Continued)

          Practical Differentiator                                                             Integrator




                                         00705709
                                                                                                                         00705710




                                                               For minimum offset error due to input bias current


              Fast Integrator                                                     Current to Voltage Converter




                                                                                                                    00705712
                                                               VOUT = lIN R1
                                                               *For minimum error due to bias current R2 = R1




                                                00705711




                                                           3                                                                   www.national.com
AN-31
           Section 1—Basic Circuits                                  (Continued)

                              Circuit for Operating the LM101                                    Circuit for Generating the
                                 without a Negative Supply                                       Second Positive Voltage




                                                                         00705713                                               00705714




                             Neutralizing Input Capacitance                                    Voltage Comparator for Driving
                              to Optimize Response Time                                        DTL or TTL Integrated Circuits




                                                                                                                         00705717



                                                                                             Threshold Detector for Photodiodes


                                                                              00705715




                    Integrator with Bias Current Compensation




                                                                                                                              00705718




                                                                           00705716
           *Adjust for zero integrator drift.
           Current drift typically 0.1 n/A˚C over −55˚C to 125˚C temperature range.




        www.national.com                                                                 4
AN-31
Section 1—Basic Circuits                  (Continued)

                                            Double-Ended Limit Detector




                                                                     00705719
VOUT = 4.6V for VLT ≤ VIN ≤ VUT
VOUT = 0V for VIN < VLT or VIN > VUT


                                       Multiple Aperture Window Discriminator




                                                                                00705720




                                                         5                                 www.national.com
AN-31
           Section 1—Basic Circuits                   (Continued)

            Offset Voltage Adjustment for Inverting Amplifiers Using       Offset Voltage Adjustment for Non-Inverting Amplifiers
                         Any Type of Feedback Element                              Using Any Type of Feedback Element




                                                                                                                               00705722




                                                          00705721




                Offset Voltage Adjustment for Voltage Followers             Offset Voltage Adjustment for Differential Amplifiers




                                                           00705723




                                                                                                                         00705724




        www.national.com                                               6
AN-31
Section 1—Basic Circuits            (Continued)

        Offset Voltage Adjustment for Inverting Amplifiers Using 10 kΩ Source Resistance or Less




                                                                      00705725




Section 2 — Signal Generation
                      Low Frequency Sine Wave Generator with Quadrature Output




                                                                                        00705726




                                                   7                                               www.national.com
AN-31
           Section 2 — Signal Generation                             (Continued)

                                               High Frequency Sine Wave Generator with Quadrature Output




                                                                                                                00705727



                               Free-Running Multivibrator                                    Wein Bridge Sine Wave Oscillator




                                                                 00705728
           *Chosen for oscillation at 100 Hz

                                                                                                                                00705729




                                                                                *Eldema 1869 10V, 14 mA Bulb




        www.national.com                                                    8
AN-31
Section 2 — Signal Generation    (Continued)

                                Function Generator




                                                                00705730



                            Pulse Width Modulator




                                                     00705731




                                        9                                  www.national.com
AN-31
           Section 2 — Signal Generation              (Continued)

                           Bilateral Current Source                   Bilateral Current Source




                                                      00705732




                                                                                                 00705733




        www.national.com                                         10
AN-31
Section 2 — Signal Generation        (Continued)

                  Wein Bridge Oscillator with FET Amplitude Stabilization




                                                                     00705734




                                            11                                  www.national.com
AN-31
           Section 2 — Signal Generation                           (Continued)

           Low Power Supply for Integrated Circuit Testing




                                                                                                                                           00705791
                                                                   00705735        *VOUT = 1V/kΩ


                           Positive Voltage Reference                                              Positive Voltage Reference




                                                                                                                                00705737



                                                        00705736




        www.national.com                                                      12
AN-31
Section 2 — Signal Generation                    (Continued)

        Negative Voltage Reference                             Negative Voltage Reference




                                                                                            00705739



                                     00705738


          Precision Current Sink                                Precision Current Source




                                                                                                00705741




                                      00705740




                                                        13                                   www.national.com
AN-31
           Section 3 — Signal Processing
                                   Differential-Input Instrumentation Amplifier




                                                                                          00705742




                            Variable Gain, Differential-Input Instrumentation Amplifier




                                                                                                     00705743
           *Gain adjust
           AV = 10−4 R6




        www.national.com                                14
AN-31
Section 3 — Signal Processing                          (Continued)

                                 Instrumentation Amplifier with ± 100 Volt Common Mode Range




                                                                                               00705744
†Matching determines common mode rejection.




                                                             15                                           www.national.com
AN-31
           Section 3 — Signal Processing                             (Continued)

                                               Instrumentation Amplifier with ± 10 Volt Common Mode Range




                                                                                                       00705745




                                                     High Input Impedance Instrumentation Amplifier




                                                                                                       00705746




           * †Matching Determines CMRR
            ‡ May be deleted to maximize bandwidth




        www.national.com                                                   16
AN-31
Section 3 — Signal Processing                                       (Continued)

                                             Bridge Amplifier with Low Noise Compensation




                                                                                                         00705747
*Reduces feed through of power supply noise by 20 dB and makes supply bypassing unnecessary.
†Trim for best common mode rejection
‡ Gain adjust



                          Bridge Amplifier                                                         Precision Diode




                                                                                                                     00705749

                                                            00705748




                          Precision Clamp                                                      Fast Half Wave Rectifier




                                                         00705750
*EREF must have a source impedance of less than 200Ω if D2 is used.                                                             00705751




                                                                          17                                                     www.national.com
AN-31
           Section 3 — Signal Processing                                         (Continued)

                                                                       Precision AC to DC Converter




                                                                                                        00705752
           *Feedforward compensation can be used to make a fast full wave rectifier without a filter.


                                                                           Low Drift Peak Detector




                                                                                                        00705753




        www.national.com                                                                  18
AN-31
Section 3 — Signal Processing                         (Continued)

                                      Absolute Value Amplifier with Polarity Detector




                                                                                   00705754




                                                    Sample and Hold




                                                                                        00705755
*Polycarbonate-dielectric capacitor




                                                            19                                     www.national.com
AN-31
           Section 3 — Signal Processing                                    (Continued)

                                                                           Sample and Hold




                                                                                                            00705756
           *Worst case drift less than 2.5 mV/sec
            †Teflon, Polyethylene or Polycarbonate Dielectric Capacitor


                                                                          Low Drift Integrator




                                                                                                 00705757
           *Q1 and Q3 should not have internal gate-protection diodes.
           Worst case drift less than 500 µV/sec over −55˚C to +125˚C.




        www.national.com                                                          20
AN-31
Section 3 — Signal Processing                                        (Continued)

                                              Fast† Summing Amplifier with Low Input Current




                                                                                                                             00705758
*In addition to increasing speed, the LM101A raises high and low frequency gain, increases output drive capability and eliminates thermal feedback.
†Power Bandwidth: 250 kHz
Small Signal Bandwidth: 3.5 MHz
Slew Rate: 10V/µs




                                                     Fast Integrator with Low Input Current




                                                                                                                                        00705759




                                                                              21                                                                   www.national.com
AN-31
           Section 3 — Signal Processing   (Continued)

                                      Adjustable Q Notch Filter




                                                                  00705760




        www.national.com                         22
AN-31
Section 3 — Signal Processing            (Continued)

         Easily Tuned Notch Filter                             Tuned Circuit




                                                                                    00705762




                                          00705761




                                     Two-Stage Tuned Circuit




                                                                         00705763




                                                     23                             www.national.com
AN-31
           Section 3 — Signal Processing    (Continued)

                                    Negative Capacitance Multiplier




                                                                      00705765




                                    Variable Capacitance Multiplier




                                                                                 00705766




        www.national.com                          24
AN-31
Section 3 — Signal Processing                                          (Continued)

                          Simulated Inductor                                                            Capacitance Multiplier




                                                                  00705767
L ≥ R1 R2 C1
RS = R2                                                                                                                          00705768

RP = R1




                                                                 High Pass Active Filter




                                                                                                               00705771
*Values are for 100 Hz cutoff. Use metalized polycarbonate capacitors for good temperature stability.


                                                                 Low Pass Active Filter




                                                                                                                00705772
*Values are for 10 kHz cutoff. Use silvered mica capacitors for good temperature stability.




                                                                                25                                                  www.national.com
AN-31
           Section 3 — Signal Processing                   (Continued)

                           Nonlinear Operational Amplifier with Temperature Compensated Breakpoints




                                                                                                  00705773



                           Current Monitor




                                                00705774




        www.national.com                                         26
AN-31
Section 3 — Signal Processing      (Continued)

                   Saturating Servo Preamplifier with Rate Feedback




                                                                      00705775



                                   Power Booster




                                                           00705776




                                          27                                     www.national.com
AN-31
           Section 3 — Signal Processing                 (Continued)

                                                        Analog Multiplier




                                                                                                                  00705777




                                  Long Interval Timer                                      Fast Zero Crossing Detector




                                                                                                                             00705779
                                                        00705778        Propagation delay approximately 200 ns
           *Low leakage −0.017 µF per second delay                      †DTL or TTL fanout of three.
                                                                        Minimize stray capacitance
                                                                        Pin 8




        www.national.com                                           28
AN-31
Section 3 — Signal Processing                             (Continued)

            Amplifier for Piezoelectric Transducer                                            Temperature Probe




                                                                                                                                          00705781
                                                                     *Set for 0V at 0˚C
                                                                     †Adjust for 100 mV/˚C


                                                   00705780
Low frequency cutoff = R1 C1

                      Photodiode Amplifier                                                   Photodiode Amplifier




                                              00705782
VOUT = R1 ID



                                                                                                                               00705783
                                                                     VOUT = 10 V/µA
                                                                     *Operating photodiode with less than 3 mV across it eliminates leakage
                                                                     currents.


                                             High Input Impedance AC Follower




                                                                                               00705784




                                                                29                                                                 www.national.com
AN-31
           Section 3 — Signal Processing                                      (Continued)

                                                       Temperature Compensated Logarithmic Converter




                                                                                                       00705785
           10 nA < IIN < 1 mA
           Sensitivity is 1V per decade
            †1 kΩ ( ± 1%) at 25˚C, +3500 ppm/˚C.
           Available from Vishay Ultronix, Grand Junction, CO, Q81 Series.
           *Determines current for zero crossing on output: 10 µA as shown.


                                                                              Root Extractor




                                                                                                                  00705786
           *†2N3728 matched pairs




        www.national.com                                                            30
AN-31
Section 3 — Signal Processing    (Continued)

                                Multiplier/Divider




                                                        00705787



                                Cube Generator




                                                       00705788




                                        31           www.national.com
AN-31
           Section 3 — Signal Processing                                       (Continued)

                                                                             Fast Log Generator




                                                                                                             00705789
            †1 kΩ ( ± 1%) at 25˚C, +3500 ppm/˚C.
           Available from Vishay Ultronix, Grand Junction, CO, Q81 Series.


                                                                             Anti-Log Generator




                                                                                                  00705790
            †1 kΩ ( ± 1%) at 25˚C, +3500 ppm/˚C.
           Available from Vishay Ultronix, Grand Junction, CO, Q81 Series.




        www.national.com                                                             32
Op Amp Circuit Collection
                                                                                                      Notes




    LIFE SUPPORT POLICY
    NATIONAL’S PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN LIFE SUPPORT
    DEVICES OR SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT AND GENERAL
    COUNSEL OF NATIONAL SEMICONDUCTOR CORPORATION. As used herein:
    1. Life support devices or systems are devices or                                                               2. A critical component is any component of a life
       systems which, (a) are intended for surgical implant                                                            support device or system whose failure to perform
       into the body, or (b) support or sustain life, and                                                              can be reasonably expected to cause the failure of
       whose failure to perform when properly used in                                                                  the life support device or system, or to affect its
       accordance with instructions for use provided in the                                                            safety or effectiveness.
       labeling, can be reasonably expected to result in a
       significant injury to the user.
              National Semiconductor                             National Semiconductor                                             National Semiconductor                             National Semiconductor
              Corporation                                        Europe                                                             Asia Pacific Customer                              Japan Ltd.
              Americas                                                   Fax: +49 (0) 180-530 85 86                                 Response Group                                     Tel: 81-3-5639-7560
                                                                                                                                                                                                                                 AN-31




              Email: support@nsc.com                                    Email: europe.support@nsc.com                               Tel: 65-2544466                                    Fax: 81-3-5639-7507
                                                                 Deutsch Tel: +49 (0) 69 9508 6208                                  Fax: 65-2504466
                                                                 English Tel: +44 (0) 870 24 0 2171                                 Email: ap.support@nsc.com
     www.national.com                                            Français Tel: +33 (0) 1 41 91 8790



National does not assume any responsibility for use of any circuitry described, no circuit patent licenses are implied and National reserves the right at any time without notice to change said circuitry and specifications.

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An 31 op amps

  • 1. Op Amp Circuit Collection National Semiconductor Op Amp Circuit Collection Application Note 31 September 2002 Note: National Semiconductor recommends replacing 2N2920 and 2N3728 matched pairs with LM394 in all application circuits. Section 1—Basic Circuits Inverting Amplifier Non-Inverting Amplifier 00705702 00705701 Difference Amplifier Inverting Summing Amplifier 00705703 00705704 R5 = R1//R2//R3//R4 For minimum offset error due to input bias current For minimum offset error due to input bias current AN-31 © 2002 National Semiconductor Corporation AN007057 www.national.com
  • 2. AN-31 Section 1—Basic Circuits (Continued) Non-Inverting Summing Amplifier Inverting Amplifier with High Input Impedance 00705705 *RS = 1k for 1% accuracy 00705706 *Source Impedance less than 100k gives less than 1% gain error. Fast Inverting Amplifier with High Input Impedance Non-Inverting AC Amplifier 00705708 00705707 www.national.com 2
  • 3. AN-31 Section 1—Basic Circuits (Continued) Practical Differentiator Integrator 00705709 00705710 For minimum offset error due to input bias current Fast Integrator Current to Voltage Converter 00705712 VOUT = lIN R1 *For minimum error due to bias current R2 = R1 00705711 3 www.national.com
  • 4. AN-31 Section 1—Basic Circuits (Continued) Circuit for Operating the LM101 Circuit for Generating the without a Negative Supply Second Positive Voltage 00705713 00705714 Neutralizing Input Capacitance Voltage Comparator for Driving to Optimize Response Time DTL or TTL Integrated Circuits 00705717 Threshold Detector for Photodiodes 00705715 Integrator with Bias Current Compensation 00705718 00705716 *Adjust for zero integrator drift. Current drift typically 0.1 n/A˚C over −55˚C to 125˚C temperature range. www.national.com 4
  • 5. AN-31 Section 1—Basic Circuits (Continued) Double-Ended Limit Detector 00705719 VOUT = 4.6V for VLT ≤ VIN ≤ VUT VOUT = 0V for VIN < VLT or VIN > VUT Multiple Aperture Window Discriminator 00705720 5 www.national.com
  • 6. AN-31 Section 1—Basic Circuits (Continued) Offset Voltage Adjustment for Inverting Amplifiers Using Offset Voltage Adjustment for Non-Inverting Amplifiers Any Type of Feedback Element Using Any Type of Feedback Element 00705722 00705721 Offset Voltage Adjustment for Voltage Followers Offset Voltage Adjustment for Differential Amplifiers 00705723 00705724 www.national.com 6
  • 7. AN-31 Section 1—Basic Circuits (Continued) Offset Voltage Adjustment for Inverting Amplifiers Using 10 kΩ Source Resistance or Less 00705725 Section 2 — Signal Generation Low Frequency Sine Wave Generator with Quadrature Output 00705726 7 www.national.com
  • 8. AN-31 Section 2 — Signal Generation (Continued) High Frequency Sine Wave Generator with Quadrature Output 00705727 Free-Running Multivibrator Wein Bridge Sine Wave Oscillator 00705728 *Chosen for oscillation at 100 Hz 00705729 *Eldema 1869 10V, 14 mA Bulb www.national.com 8
  • 9. AN-31 Section 2 — Signal Generation (Continued) Function Generator 00705730 Pulse Width Modulator 00705731 9 www.national.com
  • 10. AN-31 Section 2 — Signal Generation (Continued) Bilateral Current Source Bilateral Current Source 00705732 00705733 www.national.com 10
  • 11. AN-31 Section 2 — Signal Generation (Continued) Wein Bridge Oscillator with FET Amplitude Stabilization 00705734 11 www.national.com
  • 12. AN-31 Section 2 — Signal Generation (Continued) Low Power Supply for Integrated Circuit Testing 00705791 00705735 *VOUT = 1V/kΩ Positive Voltage Reference Positive Voltage Reference 00705737 00705736 www.national.com 12
  • 13. AN-31 Section 2 — Signal Generation (Continued) Negative Voltage Reference Negative Voltage Reference 00705739 00705738 Precision Current Sink Precision Current Source 00705741 00705740 13 www.national.com
  • 14. AN-31 Section 3 — Signal Processing Differential-Input Instrumentation Amplifier 00705742 Variable Gain, Differential-Input Instrumentation Amplifier 00705743 *Gain adjust AV = 10−4 R6 www.national.com 14
  • 15. AN-31 Section 3 — Signal Processing (Continued) Instrumentation Amplifier with ± 100 Volt Common Mode Range 00705744 †Matching determines common mode rejection. 15 www.national.com
  • 16. AN-31 Section 3 — Signal Processing (Continued) Instrumentation Amplifier with ± 10 Volt Common Mode Range 00705745 High Input Impedance Instrumentation Amplifier 00705746 * †Matching Determines CMRR ‡ May be deleted to maximize bandwidth www.national.com 16
  • 17. AN-31 Section 3 — Signal Processing (Continued) Bridge Amplifier with Low Noise Compensation 00705747 *Reduces feed through of power supply noise by 20 dB and makes supply bypassing unnecessary. †Trim for best common mode rejection ‡ Gain adjust Bridge Amplifier Precision Diode 00705749 00705748 Precision Clamp Fast Half Wave Rectifier 00705750 *EREF must have a source impedance of less than 200Ω if D2 is used. 00705751 17 www.national.com
  • 18. AN-31 Section 3 — Signal Processing (Continued) Precision AC to DC Converter 00705752 *Feedforward compensation can be used to make a fast full wave rectifier without a filter. Low Drift Peak Detector 00705753 www.national.com 18
  • 19. AN-31 Section 3 — Signal Processing (Continued) Absolute Value Amplifier with Polarity Detector 00705754 Sample and Hold 00705755 *Polycarbonate-dielectric capacitor 19 www.national.com
  • 20. AN-31 Section 3 — Signal Processing (Continued) Sample and Hold 00705756 *Worst case drift less than 2.5 mV/sec †Teflon, Polyethylene or Polycarbonate Dielectric Capacitor Low Drift Integrator 00705757 *Q1 and Q3 should not have internal gate-protection diodes. Worst case drift less than 500 µV/sec over −55˚C to +125˚C. www.national.com 20
  • 21. AN-31 Section 3 — Signal Processing (Continued) Fast† Summing Amplifier with Low Input Current 00705758 *In addition to increasing speed, the LM101A raises high and low frequency gain, increases output drive capability and eliminates thermal feedback. †Power Bandwidth: 250 kHz Small Signal Bandwidth: 3.5 MHz Slew Rate: 10V/µs Fast Integrator with Low Input Current 00705759 21 www.national.com
  • 22. AN-31 Section 3 — Signal Processing (Continued) Adjustable Q Notch Filter 00705760 www.national.com 22
  • 23. AN-31 Section 3 — Signal Processing (Continued) Easily Tuned Notch Filter Tuned Circuit 00705762 00705761 Two-Stage Tuned Circuit 00705763 23 www.national.com
  • 24. AN-31 Section 3 — Signal Processing (Continued) Negative Capacitance Multiplier 00705765 Variable Capacitance Multiplier 00705766 www.national.com 24
  • 25. AN-31 Section 3 — Signal Processing (Continued) Simulated Inductor Capacitance Multiplier 00705767 L ≥ R1 R2 C1 RS = R2 00705768 RP = R1 High Pass Active Filter 00705771 *Values are for 100 Hz cutoff. Use metalized polycarbonate capacitors for good temperature stability. Low Pass Active Filter 00705772 *Values are for 10 kHz cutoff. Use silvered mica capacitors for good temperature stability. 25 www.national.com
  • 26. AN-31 Section 3 — Signal Processing (Continued) Nonlinear Operational Amplifier with Temperature Compensated Breakpoints 00705773 Current Monitor 00705774 www.national.com 26
  • 27. AN-31 Section 3 — Signal Processing (Continued) Saturating Servo Preamplifier with Rate Feedback 00705775 Power Booster 00705776 27 www.national.com
  • 28. AN-31 Section 3 — Signal Processing (Continued) Analog Multiplier 00705777 Long Interval Timer Fast Zero Crossing Detector 00705779 00705778 Propagation delay approximately 200 ns *Low leakage −0.017 µF per second delay †DTL or TTL fanout of three. Minimize stray capacitance Pin 8 www.national.com 28
  • 29. AN-31 Section 3 — Signal Processing (Continued) Amplifier for Piezoelectric Transducer Temperature Probe 00705781 *Set for 0V at 0˚C †Adjust for 100 mV/˚C 00705780 Low frequency cutoff = R1 C1 Photodiode Amplifier Photodiode Amplifier 00705782 VOUT = R1 ID 00705783 VOUT = 10 V/µA *Operating photodiode with less than 3 mV across it eliminates leakage currents. High Input Impedance AC Follower 00705784 29 www.national.com
  • 30. AN-31 Section 3 — Signal Processing (Continued) Temperature Compensated Logarithmic Converter 00705785 10 nA < IIN < 1 mA Sensitivity is 1V per decade †1 kΩ ( ± 1%) at 25˚C, +3500 ppm/˚C. Available from Vishay Ultronix, Grand Junction, CO, Q81 Series. *Determines current for zero crossing on output: 10 µA as shown. Root Extractor 00705786 *†2N3728 matched pairs www.national.com 30
  • 31. AN-31 Section 3 — Signal Processing (Continued) Multiplier/Divider 00705787 Cube Generator 00705788 31 www.national.com
  • 32. AN-31 Section 3 — Signal Processing (Continued) Fast Log Generator 00705789 †1 kΩ ( ± 1%) at 25˚C, +3500 ppm/˚C. Available from Vishay Ultronix, Grand Junction, CO, Q81 Series. Anti-Log Generator 00705790 †1 kΩ ( ± 1%) at 25˚C, +3500 ppm/˚C. Available from Vishay Ultronix, Grand Junction, CO, Q81 Series. www.national.com 32
  • 33. Op Amp Circuit Collection Notes LIFE SUPPORT POLICY NATIONAL’S PRODUCTS ARE NOT AUTHORIZED FOR USE AS CRITICAL COMPONENTS IN LIFE SUPPORT DEVICES OR SYSTEMS WITHOUT THE EXPRESS WRITTEN APPROVAL OF THE PRESIDENT AND GENERAL COUNSEL OF NATIONAL SEMICONDUCTOR CORPORATION. As used herein: 1. Life support devices or systems are devices or 2. A critical component is any component of a life systems which, (a) are intended for surgical implant support device or system whose failure to perform into the body, or (b) support or sustain life, and can be reasonably expected to cause the failure of whose failure to perform when properly used in the life support device or system, or to affect its accordance with instructions for use provided in the safety or effectiveness. labeling, can be reasonably expected to result in a significant injury to the user. National Semiconductor National Semiconductor National Semiconductor National Semiconductor Corporation Europe Asia Pacific Customer Japan Ltd. Americas Fax: +49 (0) 180-530 85 86 Response Group Tel: 81-3-5639-7560 AN-31 Email: support@nsc.com Email: europe.support@nsc.com Tel: 65-2544466 Fax: 81-3-5639-7507 Deutsch Tel: +49 (0) 69 9508 6208 Fax: 65-2504466 English Tel: +44 (0) 870 24 0 2171 Email: ap.support@nsc.com www.national.com Français Tel: +33 (0) 1 41 91 8790 National does not assume any responsibility for use of any circuitry described, no circuit patent licenses are implied and National reserves the right at any time without notice to change said circuitry and specifications.