What is a Summing Amplifier and how does it work?

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In summary, the conversation discusses a problem involving a circuit with 4 input combinations and the input being given in sin(2*pi*f*t). The solution for Part C involves plugging in values to find f, while Part D involves understanding summing amplifiers and how they work. A helpful resource for understanding summing amplifiers is also provided.
  • #1
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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  • #2
Part C is simple, the input is given in sin(2*pi*f*t). Just plug n chug to find f.
 
  • #3
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)??
 
  • #4
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.
 
  • #5
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?
 
  • #6
ally34 said:
But the problem vs(t) = sin(4000pit)

So ω = 4000?

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

so f = 2000hz?

Yup.
 
  • #7
likephysics said:
Yup.

Cool -thanks.

How about Part D?
 
  • #8
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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What is a summing amplifier?

A summing amplifier is an electronic circuit that takes multiple input signals and produces a single output signal that is the algebraic sum of all the inputs. It is commonly used in audio applications to combine multiple audio signals into one output.

How does a summing amplifier work?

A summing amplifier works by using an operational amplifier (op-amp) to amplify and sum the input signals. The op-amp has a non-inverting input, an inverting input, and an output. The input signals are connected to the inverting input through individual resistors, and the non-inverting input is connected to a common ground. The output then produces the sum of all the input signals multiplied by the respective resistor values.

What are the applications of a summing amplifier?

Summing amplifiers are commonly used in audio mixing applications to combine multiple audio signals into one output, such as in a DJ mixer or a sound mixer. They are also used in signal processing and instrumentation systems to combine various sensor inputs into one output.

Can a summing amplifier be used to subtract signals?

Yes, a summing amplifier can also be used to subtract signals. This is achieved by inverting one of the input signals before connecting it to the inverting input of the op-amp. The output will then be the difference between the two input signals multiplied by the respective resistors' values.

What are the advantages of using a summing amplifier?

The main advantage of a summing amplifier is its ability to combine multiple input signals into one output, making it a useful tool in various applications such as audio mixing, signal processing, and instrumentation. It also has a simple design and can be easily implemented with few components.

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