Op-Amp Output Voltage Calculation with Two Input Voltages

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Homework Help Overview

The discussion revolves around deriving the output voltage expression for an operational amplifier (op-amp) circuit with two input voltages, V1 and V2. Participants are exploring the relationships between the input voltages and the output voltage in the context of an inverting amplifier configuration.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to understand how to derive the output voltage based on two input voltages. Questions are raised about the expected voltage at the negative input terminal and the current flowing into it. There is also discussion about the currents through the resistors associated with each input voltage.

Discussion Status

The discussion is progressing with participants sharing their thoughts on the relationships between the input voltages and the output voltage. Some have proposed expressions for the output voltage based on their understanding of the circuit. There appears to be a collaborative effort to clarify concepts and confirm reasoning.

Contextual Notes

Participants are working under the constraints of deriving an expression without complete information about the circuit configuration, as an image was mentioned but not provided in the text. There is an emphasis on understanding the behavior of the op-amp with two inputs.

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Homework Statement



Derive the expression for the output Vo in terms of the input voltages V1 and V2?
Attached image is the cir

Homework Equations


Inverting amp:
A=Vo/Vi=-Rf/Ri
Vout=-Rf/I_2


The Attempt at a Solution


No idea how to go about this question with two input voltages.
 

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If there was only one input voltage (and input resistor), what voltage would you expect to see at the - input of the op-amp? What current flows into the - input terminal of the op-amp?
 
The current across R1
V1/10k
The current across R2
V2/5k

So I1 is V1/10k +V2/5k?
 
Okay. Presuming that you understand why this is so, can you proceed to state the expected output voltage as a function of the inputs?
 
so Vout = -Rf*(V1/10k +V2/5k)?
 
You sound surprised. Yes, that is the logical consequence, is it not?
 
yea didn't think it would be that simple tbh, i was thinkin it would be huge although i didn't know where to start either.
 

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