Solving the Schmitt Trigger: V_in, V_out & V_ref

  • Thread starter WlfordBrimley
  • Start date
In summary, to derive the relationship between V_in, V_out, and V_ref for a Schmitt Trigger circuit, you can use the Golden Rules for an Op Amp and the voltage divider equations. The input voltage is applied at the inverting end and positive feedback is used. By obtaining the feedback factor from the potential divider arrangement, you can establish a relationship between the feedback factor, the reference voltage, and the saturation voltage. Some helpful equations to use include the Golden Rules for an Op Amp and the voltage divider equations.
  • #1
WlfordBrimley
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0

Homework Statement


Please see refer to the attached picture of a Schmitt Trigger. How can you derive a relationship between V_in, V_out and V_ref, given values of R1, R2, R3,R4 and V_cc?

Homework Equations


Golden Rules for an Op Amp, voltage divider equations, etc.

The Attempt at a Solution


I'm not sure where to start, any suggestions/hints would be appreciated.
 

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  • #2
It would be helpful if you could post some of the equations you have started with. I will give you few hints:
*Input voltage is applied at the inverting end.
*Positive feedback is used.
*Obtain the feedback factor from the potential divider arrangement.
*Establish relationship between the feedback factor, ref. voltage and saturation voltage.
 

1. What is a Schmitt Trigger?

A Schmitt Trigger is a type of electronic circuit that converts an analog input signal into a digital output signal. It is used to clean up noisy signals and provide a stable output.

2. How does a Schmitt Trigger work?

A Schmitt Trigger has two input thresholds, a high threshold (Vth) and a low threshold (Vtl). When the input voltage (Vin) is above the high threshold, the output (Vout) switches to a high state. When the input voltage is below the low threshold, the output switches to a low state. The output remains in the same state until the input crosses the opposite threshold.

3. What is the purpose of Vref in a Schmitt Trigger?

Vref is the reference voltage used to set the high and low thresholds of a Schmitt Trigger. It is typically set to be halfway between the high and low thresholds to provide symmetrical switching behavior.

4. How can I calculate the output voltage (Vout) of a Schmitt Trigger?

The output voltage of a Schmitt Trigger can be calculated using the following formula: Vout = Vref + (Vin - Vref) * (1 - 2*(Vth - Vtl)/(Vin - Vtl - Vth)).

5. How do I choose the appropriate values for Vref, Vth, and Vtl in a Schmitt Trigger?

The values for Vref, Vth, and Vtl should be chosen based on the input signal and the desired output behavior. Vref should be set to be halfway between Vth and Vtl for symmetrical switching. Vth and Vtl should be chosen to provide a suitable hysteresis (difference between the two thresholds) to avoid false triggering.

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