LabMath.pdf - Lab Math 6BL August 7 2018 1 Introduction...

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Lab Math 6BL August 7, 2018 1 Introduction Below is a table of data taken by a student in an upper division physics lab course. She was curious about electronic noise in her measurements. She noticed one day that as she increase the DC current running through her instrument, the AC current noise would also increase. In an attempt to find the relationship between the DC current and the AC current noise she varied the DC current ( I DC ) and measured the AC noise ( I AC ). Note the units in the table below. They have prefixes that are very important. I DC ( μ A) I AC (pA) 12.8 2.19 20.1 2.69 24.9 3.01 29.9 3.27 35.0 3.50 40.2 3.74 44.9 3.87 55.1 4.36 60.1 4.54 64.9 4.71 70.2 4.85 73.6 4.97 2 Logarithm Review She suspects the relationship to be of the form: I AC = cI n DC (1) Where c and n are unknown constants she would like to determine. If she were to plot all the data she has collected so far, she would see the AC current noise increase somehow with DC current but how would she determine if it was linear, quadratic, root, or something else entirely?
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