Inductor as a differentiator (op amp)

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SUMMARY

The discussion centers on analyzing an op-amp circuit configuration that includes a resistor (R1) and an inductor, aimed at determining whether it functions as a differentiator. The user presents a nodal equation derived from the circuit but questions its validity, particularly regarding the absence of the inductor's influence in the equation. The key takeaway is that the presence of the inductor in the feedback loop is essential for the circuit to behave as a differentiator, as it introduces a term related to the rate of change of current.

PREREQUISITES
  • Understanding of operational amplifier (op-amp) configurations
  • Familiarity with nodal analysis in circuit theory
  • Knowledge of inductor behavior, specifically vL = L di/dt
  • Basic principles of differentiators in analog circuits
NEXT STEPS
  • Study the design and analysis of op-amp differentiator circuits
  • Learn about the role of inductors in feedback loops
  • Explore nodal analysis techniques for complex circuits
  • Investigate PSPICE simulation for circuit verification
USEFUL FOR

Electrical engineers, students studying circuit design, and anyone interested in understanding op-amp configurations and their applications in signal processing.

jesuslovesu
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Homework Statement


Sorry this computer doesn't have access to PSPICE and I don't have a scanner, but let's say that I have an op amp.
1) there is a time varying voltage source Vs
2) There is a resistor R1 connected to the inverting input of the op amp
3) The noninverting pin is connected to ground
4) There is an inductor connected from the inverting pin to the output of the op amp where there is also + - Vout represented.

How does one do the nodal equations to verify that this configuration is a differentiator?

Homework Equations





The Attempt at a Solution



I came up with (0 - Vs) / R + i(t) = 0
Vs / R = i(t)
I know vL = L di/dt
but wouldn't that be an integrator if I wanted to solve for i?

I don't see how this would be a differentiator
 
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jesuslovesu said:
I came up with (0 - Vs) / R + i(t) = 0
That can't be right. There is no L in that equation.
 

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