Amplifier negitive feedback capacitor and resistor in paralell

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SUMMARY

The discussion focuses on the configuration of an amplifier with negative feedback, specifically using a resistor and capacitor in parallel between the output and the inverting input. This setup functions as a leaky integrator, where the resistor limits gain at low frequencies and the capacitor reduces gain at high frequencies. The participants emphasize the importance of measuring the output against input at various frequencies to understand the amplifier's behavior, particularly in applications like a Mass Flow Controller. The capacitor's role is to stabilize control voltage changes, preventing oscillations in flow rates.

PREREQUISITES
  • Understanding of operational amplifier configurations
  • Knowledge of feedback mechanisms in amplifiers
  • Familiarity with frequency response analysis
  • Basic circuit analysis skills
NEXT STEPS
  • Research "Operational Amplifier Frequency Response" to understand gain variations
  • Learn about "Leaky Integrators" and their applications in control systems
  • Explore "Polar Plot Techniques" for analyzing amplifier phase and gain
  • Study "Mass Flow Controller Design" to see practical applications of feedback in control systems
USEFUL FOR

Electronics engineers, control system designers, and students studying operational amplifiers and feedback mechanisms in circuit design.

chopficaro
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ok so if we have an amplifier with direct negative feedback we have a voltage follower

if we put a resistor between that inverting input pin and ground, we can do these things:

if we put another resistor between the output and the inverting input we can adjust the gain

if, instead, we use a capacitor between the the output and the inverting input we can get an integrator

im looking at a schematic for a Mass Flow Controller right now that, instead of that resistor or that capacitor between the output and the inverting input, we have both a resistor and a capacitor, in parallel, between the output and the inverting input. what does that do and how can i measure what it does?
 
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chopficaro said:
ok so if we have an amplifier with direct negative feedback we have a voltage follower

if we put a resistor between that inverting input pin and ground, we can do these things:

if we put another resistor between the output and the inverting input we can adjust the gain

if, instead, we use a capacitor between the the output and the inverting input we can get an integrator

im looking at a schematic for a Mass Flow Controller right now that, instead of that resistor or that capacitor between the output and the inverting input, we have both a resistor and a capacitor, in parallel, between the output and the inverting input. what does that do and how can i measure what it does?

Welcome to the PF. What is the problem with having *just* a capacitor as the feedback? What would happen if there is an offset, and that keeps getting integrated?
 
The capacitor has more effect at high frequencies.

Capacitors have less reactance as the frequency rises, so it is like having a smaller resistance there.

This means the amplifier would have less gain at high frequencies than at lower frequencies.

The setup you describe was not a voltage follower, though. It is an amplifier with reducing gain at higher frequencies.

The resistor sets a limit to the gain at low frequencies, otherwise the amplifier could become unstable.

Testing it is easy. Just apply a signal to the input. Measure the output.
Gain = Output / input.
Do this at different frequencies.
 
Last edited:
chopficaro said:
im looking at a schematic for a Mass Flow Controller right now that, instead of that resistor or that capacitor between the output and the inverting input, we have both a resistor and a capacitor, in parallel, between the output and the inverting input. what does that do and how can i measure what it does?

You might try plotting the phase and gain of the amplifier versus frequency using a polar plot. Obviously they are limiting the gain at higher frequencies. Can you find the roll off frequency? Why do you think they chose that frequency?
 
As you point out, a capacitor C from the output back to the inverting input is an integrator. If there is a resistor R1 in parallel with the capacitor, it is a leaky integrator with a decay time constant R1C. If you have an input resistor R2 to the inverting input (with the non inverting input tied to ground through a resistor R3**), then a short pulse of voltage V and time t will put charge Q = Vt/R2 on the capacitor, so the output voltage is Q/C, and the decay time constant is R1C.

**1/R3 = 1/R1 + 1/R2
 
ah i think i see now. this amplifier is a small part of a mass flow controller. another amplifier in the schematic uses mechanical feedback to keep the valve open just enough to allow a certain amount of gas through that the user defines by setting a control voltage. this amplifier that we have been discussing is in the control voltage input network. i can see that if the user changed the control voltage to quickly, it could cause oscillations in the flow, rather than a steady desired flow value. i think that this capacitor is used to make sure that control voltage doesn't change too quickly. thank you all for helping me understand
 

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