Testing instrumenation amplifier

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The discussion focuses on testing a basic 3 OP instrumentation amplifier by varying input voltages V1 and V2 while measuring the output voltage (Vout). The user seeks clarification on calculating gain using the derivative ∂vout/∂vin1, questioning whether to average results or use individual data points for calculation. The conversation emphasizes the need to create a table of outputs against inputs and compute the step changes in input and output to determine gain. It is noted that the gain may vary across the input voltage range and between inputs, and the differential gain should be considered for both positive and negative inputs. Overall, the user is looking for a clearer explanation of the gain calculation process.
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Homework Statement


I just have some very simple questions to ask.

I'm testing a basic 3 OP instrumentation amplifier

INA.png


I have to short V2 to ground and test V1 from -2V to 2V, in 0.25 increments.

I then have to short V1 to ground and test V2 from -2 to 2V in 0.25 increments.

the results i have for V1 are for example:

2 vout = ~12.2
1.75 vout = ~11.4
1.5 vout = ~ 10.8
1.25 vout = ~ 9.2
.
.
...

i then have this equation to find the gain:

∂vout/
∂vin1

when I'm doing this equation, I'm not undestanding the ∂. do i add up all the results and then divide it by all the vin1's added up like:

12.2+11.4+10.8.../2+1.75+1.25...

or will i just take one result like 11.4/1.75.

i know this is stupid question, i just want to know if I'm doing it right. either way i do it, i get like ~6.

when i do both the tests, each gain is ~6. do both the gain of each of the buffer amplifier add up 6+6=12 and 12 is the overall gain for the INA?
 

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Make an accurate table of your outputs against inputs.
Then for each two rows of the table, compute the step change of input = dVi, and the step change of output = dVo.
The gain over that small range of input will be dVo / dVi.
You may find gain varies over the input voltage range and between inputs.
You may find limits to input voltages that produce sensible outputs.
INA is a difference amplifier so if gain of + side is 6 and - side is 6, differential gain is 6.
 
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I don't understand what u mean when you say "compute the step change of input..."

say my results are this:

results.PNG


how do i get the gain for these 2 result tables? they're very similar, but the negative and positives are opposite for each set of results.
can you explain a bit more simply how to get the gain using ∂vout/∂vin1?

thanks
 

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