EC3 lab write up.docx

# EC3 lab write up.docx - t(s 20 40 60 80 100 120 140 160 180...

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Calculated using LINEST function in Excel Slope = -0.008071 b intercept = 1.143 Uncertainty Slope = 0.0002441 Uncertainty b intercept = 0.027 0 20 40 60 80 100 120 140 160 180 200 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 1.2 f(x) = - 0.01x + 1.14 ln|VR| vs. Time Time (sec) ln|VR| VI-1) s = -1/τ τ = -1/s = -1/-0.008071 = 123.9 σ τ = √((∂τ/∂s) 2 s )) = √((-1/s 2 ) σ s ) = √((-1/-0.008071 2 ) 1.143) = 132 τ = ± 123.9 ± 132 t(s) |V R | (volts) ln|V R | 20 2.838 1.043 40 2.28 0.824 60 1.897 0.64 80 1.585 0.461 100 1.35 0.3 120 1.16 0.148 140 1.002 0.002 160 0.875 -0.134 180 0.769 -0.263

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Calculated using LINEST function in Excel Slope = -0.009688 b intercept = 1.287878 Uncertainty Slope = 0.0003034 Uncertainty b intercept = 0.034141 0 20 40 60 80 100 120 140 160 180 200 -0.6 -0.4 -0.2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 f(x) = - 0.01x + 1.29 ln|VR| vs. Time Time (sec) ln|VR| VI-2) t(s) |V R | (volts) ln|V R | 20 3.227 1.171553 40 2.242 0.807368 60 2.052 0.718815 80 1.677 0.517006 10 0 1.372 0.31627 12 0 1.12 0.113329 14 0 0.926 -0.07688 16 0 0.771 -0.26007 18 0 0.647 -0.43541 s = -1/τ τ = -1/s = -1/-0.009688 = 103.2 σ τ = √(∂τ/∂s) 2 s )) = √((-1/s 2 ) σ s ) = √((-1/-0.009688 2 ) 1.287878) = 117 τ = 103.2 ± 117 The time constants for a capacitor discharging and charging to agree with each other within their uncertainties
0 50 100 150 200 250 300 350 0 0.2 0.4 0.6 0.8 1 1.2 1.4 f(x) = - 0x + 1.38 time (s) vs. ln|VR| time (s) ln|VR| VI-3) Calculated using LINEST function in Excel Slope = -0.004301 b intercept = 1.376997 Uncertainty Slope = 0.0001361 Uncertainty b intercept = 0.025333
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• Fall '17
• Harshad number, τ, στ, Uncertainty Slope

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