Ideal Op-Amp: Voltage Gain Formula | R1, R2, R4

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Discussion Overview

The discussion revolves around deriving a symbolic expression for the voltage gain of an ideal operational amplifier (op-amp) circuit, specifically focusing on the role of resistors R1, R2, and R4. Participants explore the implications of nodes in the circuit and the concept of virtual short circuits at the op-amp terminals.

Discussion Character

  • Technical explanation
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant expresses confusion about the two nodes on each side of resistor R4 and the implications of the virtual short circuit at the op-amp input terminals.
  • Another participant asserts that since no current flows into the op-amp terminals, the voltage at the non-inverting terminal (+) is 0V.
  • A participant suggests that the node on the right of R4 should be considered as a short circuit (ground), indicating a possible misunderstanding of the circuit configuration.
  • Another contribution proposes using Thevenin's equivalent for Vi, R3, and R1 to analyze the circuit as a standard inverting amplifier.

Areas of Agreement / Disagreement

Participants express differing views on how to treat the nodes in the circuit and the implications of the virtual short circuit. The discussion remains unresolved, with multiple competing approaches to the problem.

Contextual Notes

Participants have not reached consensus on the treatment of the nodes and the application of Thevenin's theorem in this context. There are also unresolved assumptions regarding the circuit configuration and the definitions of terms used.

spoonjabba
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Derive a symbolic expression (i.e., a formula containing symbols R1, R2, ..., etc., andarithmetic operators instead of numerical values) for the voltage gain of the amplifier

What I am stuck at is the two nodes on each side of R4

I initially disregarded the node to the right of R4, which was wrong. since there is a virtual sc at the input of the op amp terminals what would i consider the node on the right of r4?
 

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Since no current is flowinginto either -/+ terminal as well, the voltage at the + terminal is 0V.
 
spoonjabba said:
Derive a symbolic expression (i.e., a formula containing symbols R1, R2, ..., etc., andarithmetic operators instead of numerical values) for the voltage gain of the amplifier

What I am stuck at is the two nodes on each side of R4

I initially disregarded the node to the right of R4, which was wrong. since there is a virtual sc at the input of the op amp terminals what would i consider the node on the right of r4?

You just said to consider the node on the right of R4 to be a sc which I assume must mean short circuit or, as we call it, ground. The problem?
 
spoonjabba said:
Derive a symbolic expression (i.e., a formula containing symbols R1, R2, ..., etc., andarithmetic operators instead of numerical values) for the voltage gain of the amplifier

What I am stuck at is the two nodes on each side of R4

I initially disregarded the node to the right of R4, which was wrong. since there is a virtual sc at the input of the op amp terminals what would i consider the node on the right of r4?

You could also replace Vi, R3 and R1 with their Thevenin's equivalent and then just analyze it as a standard inverting amplifier.
 

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