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This question was created from Final-Exam-2014-Fall-Dennison-FINAL-FINAL.pdf


I want to use this as a practice for my final(since there's no sample final for this class). And I'd like to know the answer to this question.


PROBLEM I (20 MARKS): UNCERTAINTY ANALYSIS An instrumentation amplifier is to be used in a
sensing system and we wish to estimate the
uncertainty in its gain. For this problem, assume
the gain is given by: V Rs
62—”: 1+2 ,
Vi RG- The resistances have values: R3= 100 kg :I: fikfl (95% confidence interval} RG= 1 k9. :: 509 (95% confidence interval) a} (10 marks) The resistances can be expressed as R = E i whiz, : E in: Clare: , where wflgfi,
is uncertainty in resistance based on a given confidence interval, 3:21 is the standard z—score
corresponding to a confidence interval (CI), and GR is the standard deviation of the
resistances (assume normal distribution}. Derive an expression to scale the webahased on
z—score for differing confidence intervals. Use the expression to computers?3 , and was for 80% confidence interval. (Don’t interpolate on normal table on page 6, use the closest :—
score) ANSWER: Scaling expression I ANSWER: I

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