What is a Summing Amplifier and how does it work?

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Discussion Overview

The discussion revolves around the concept of a summing amplifier, particularly in the context of a homework problem involving its operation and input characteristics. Participants explore how to approach the problem, including calculations related to input signals and the configuration of the amplifier.

Discussion Character

  • Homework-related
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant expresses uncertainty about how to start the problem and suggests there are multiple input combinations for the circuit.
  • Another participant identifies that the input is given in the form of sin(2*pi*f*t) and suggests using this to find the frequency.
  • There is a question about how the input is represented in the standard form of AC voltage or current.
  • A participant confirms the relationship between the angular frequency ω and the frequency f, calculating f as 2000 Hz based on the given input.
  • One participant explains that when one input of the summing amplifier is grounded, its contribution is zero, and discusses the parallel configuration of the resistors connected to the amplifier.

Areas of Agreement / Disagreement

Participants generally agree on the representation of the input signal and the calculations related to frequency. However, there is no consensus on the overall approach to solving the homework problem, as some participants express confusion and uncertainty.

Contextual Notes

Some participants have not fully clarified their assumptions regarding the circuit configuration and the implications of grounding one input. There are also unresolved steps in the calculations presented.

Who May Find This Useful

Students studying electrical engineering or related fields, particularly those learning about operational amplifiers and their applications in circuit design.

ally34
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Homework Statement



Please refer to attached image!



Homework Equations



Absolutely no idea how to start this problem!


The Attempt at a Solution



A) I would think that there are 4 input combinations for this circuit.

B) 0110 = 6v?

C) No clue

D) 1011 = 11v?

E) No clue
 

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Part C is simple, the input is given in sin(2*pi*f*t). Just plug n chug to find f.
 
likephysics said:
Part C is simple, the input is given in sin(2*pi*f*t). Just plug n chug to find f.

How is the input given in sin(2*pi*f*t)??
 
ally34 said:
How is the input given in sin(2*pi*f*t)??

It's a standard way of writing AC voltage or current, sin(2∏ft) or sin(ωt), cos (ωt)
I don't really know why it is this way.
 
likephysics said:
It's a standard way of writing AC voltage or current, sin(2∏ft) or sin(ωt), cos (ωt)
I don't really know why it is this way.

But the problem vs(t) = sin(4000pit)

So ω = 4000?

2pi*f*t = 4000*pi*t

so f = 2000hz?
 
ally34 said:
But the problem vs(t) = sin(4000pit)

So ω = 4000?

2pi*f*t = 4000*pi*t

so f = 2000hz?

Yup.
 
likephysics said:
Yup.

Cool -thanks.

How about Part D?
 
It's a summing amplifier. When one input is grounded, contribution from that branch is zero.
For the other inputs, since 3 resistors are connected to same voltage, they are in parallel.
This should help you understand summing amplifiers - http://www.ecircuitcenter.com/circuits/opsum/opsum.htm
 
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