Differentiating Op Amp circuit help

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SUMMARY

The discussion focuses on solving for V0 in an operational amplifier (op amp) differentiator circuit involving resistors R1, R2, R3, and capacitor C. The key equation derived is V0 = -RC (dVs/dt), which is applicable for differentiator circuits. Participants emphasize the importance of applying Kirchhoff's Current Law (KCL) at the node between capacitor C and resistor R1, and correctly identifying the virtual ground at this node. Additionally, the correct application of Kirchhoff's Voltage Law (KVL) is necessary to fully understand the role of resistor R3 in the circuit.

PREREQUISITES
  • Understanding of operational amplifier circuit configurations
  • Familiarity with Kirchhoff's Current Law (KCL)
  • Knowledge of Kirchhoff's Voltage Law (KVL)
  • Basic calculus for differentiating voltage with respect to time
NEXT STEPS
  • Study op amp differentiator circuit design and analysis
  • Learn about virtual ground concepts in op amp circuits
  • Explore advanced applications of KCL and KVL in circuit analysis
  • Investigate the effects of component values on circuit behavior in op amp configurations
USEFUL FOR

Electrical engineering students, circuit designers, and anyone involved in analyzing or designing op amp circuits will benefit from this discussion.

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Homework Statement


(See attached figure) I need to find V0 in terms of R1, R2, R3 and C.

Homework Equations


V0 = -RC (dVs/dt) for a differentiator

The Attempt at a Solution


I understand I have to apply KCL at the node between C and R1, and I've also determined that R1 and R2 are in series (not sure) but I don't know what to do with R3.

{C * (d(Vn - Vs)/dt)} + {(Vn - V0)/(R1 + R2)}
 

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Hey Did u notice that the node between C and R1 is a virtual ground.
 
crixus said:
Hey Did u notice that the node between C and R1 is a virtual ground.

Plus you're missing one node, plus your equation is incorrect I'm afraid.

Just write the KVL for every node correctly & it'll be obvious what to do with R3 ...
 

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