Summing amplifier results dont agree with theory

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The discussion centers on discrepancies between theoretical and experimental results of a summing amplifier, specifically comparing a measured output of -9.62V to an expected -10.00V. The primary concern is the significant error margin, which only aligns within four standard errors. Theoretical assumptions regarding the operational amplifier's internal current were questioned, but the instructor deemed them negligible. The conclusion suggests that resistor value inaccuracies may be the primary source of error in the experiment.

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i had to do a study using a summing amplifier to see if the results i got agreed with theory, the answers i got was something like 9.62, the answer i should of got was 10, now this doesn't seem that far away, BUT the errors didnt agree at all, they only agreed within 4 standard errors, so i was looking for a reason why they may not have agreed.

My orginial thought was that:

The summing amplifiers summing equation made an assumption that the current inside of the op am was 0 and as a result wud overestimate the summed voltage.

I spoke to my instructer and he said it would be negligable.

So i don't really have a reason why

The theory equation is

[tex]Vout = -(\frac{Rf}{R1}V1 + \frac{Rf}{R2}V2)[/tex]

the measured value i get is -(9.620±0.005)V
the expected value i get is -(10.00±0.01)V

as you can see they only agree within 4 standard errors of each other.

Im a bit stumped at a reason why
 
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We don't have enough information to help you. I would immediately suspect that the resistor values introduce more error than you have anticipated. Did you actually measure their values? If not, and you truly have such small error, then you are using quite expensive resistors.
 

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