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Operational Amplifier Basics
         Revision Question 4
An inverting comparator is shown in Figure 4.
  Calculate the switching threshold voltages and
  the hysteresis for VREF=+2.5V.
Operational Amplifier Basics
          Revision Question 4
Allow a current to flow from VREF through R1. Since
  no current can flow into the Op Amp Non-inverting
  Terminal. The current must continue through the
  feedback resistor R2 to the output. Let the
  potential at the Non-inverting terminal be V+.

Ideal conditions so the current flowing through R1
equals the current flowing through R2.

       VREF - V     V - VO -      VREF - VO
          R1           R2         R1 R 2
Operational Amplifier Basics
          Revision Question 4
and as a potential divider
     VREFR2        VOR1
V=
     R1 R 2       R1 R 2
When the output voltage is high, the threshold
 voltage will be given by:

   +                R2             R1
 V H=VREF                     VH
                  R1 R2          R1 R2
 Where VH = +5V
Operational Amplifier Basics
              Revision Question 4
Similarly, when the Output Voltage is low, the
  threshold voltage is given by:

   +               R2               R1
V L=VREF                       VL
                 R1 R2            R1 R2
Where VL = -5V
The hysteresis is given by the difference between VH & VL
                                    R1
 V     H     V   L    (VH     VL)
                                  R1 R2
Operational Amplifier Basics
              Revision Question 4
 Substituting values
 +         15000                   10000
V H=2.5                    ( 5)               3.5V
        10000 15000             10000 15000
     And
 +         15000                  10000
V L=2.5                   ( 5)                 0.5V
        10000 15000            10000 15000

                               10000
 V     H   V   L   (5 ( 5))                    4V
                            10000 15000

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Op Amp Revision Q4

  • 1. Operational Amplifier Basics Revision Question 4 An inverting comparator is shown in Figure 4. Calculate the switching threshold voltages and the hysteresis for VREF=+2.5V.
  • 2. Operational Amplifier Basics Revision Question 4 Allow a current to flow from VREF through R1. Since no current can flow into the Op Amp Non-inverting Terminal. The current must continue through the feedback resistor R2 to the output. Let the potential at the Non-inverting terminal be V+. Ideal conditions so the current flowing through R1 equals the current flowing through R2. VREF - V V - VO - VREF - VO R1 R2 R1 R 2
  • 3. Operational Amplifier Basics Revision Question 4 and as a potential divider VREFR2 VOR1 V= R1 R 2 R1 R 2 When the output voltage is high, the threshold voltage will be given by: + R2 R1 V H=VREF VH R1 R2 R1 R2 Where VH = +5V
  • 4. Operational Amplifier Basics Revision Question 4 Similarly, when the Output Voltage is low, the threshold voltage is given by: + R2 R1 V L=VREF VL R1 R2 R1 R2 Where VL = -5V The hysteresis is given by the difference between VH & VL R1 V H V L (VH VL) R1 R2
  • 5. Operational Amplifier Basics Revision Question 4 Substituting values + 15000 10000 V H=2.5 ( 5) 3.5V 10000 15000 10000 15000 And + 15000 10000 V L=2.5 ( 5) 0.5V 10000 15000 10000 15000 10000 V H V L (5 ( 5)) 4V 10000 15000