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MSE 310 Solns Prob Set 0

MSE 310 Solns Prob Set 0 - MSE 310/ECE 340 Instructor Bill...

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MSE 310/ECE 340 Instructor: Bill Knowlton Problem Set 0 Fall 2011 Solutions for Problem Set 0 ü 2a. Create a data set of at least 4 sets of (x,y) data where x = electric field and y = voltage. For instance, at 0 volts, the electric field is 0 therefore we have (x=0MV/cm, y=0V) and at -13V, the electric field is -65MV/cm, therefore we have (x=-65MV/cm, y=-13V). The data set of electric field and voltage data (x=electric field, y=voltage) obtained from the Band Diagram Program is: {{0, 0}, {5, 1}, {10, 2}, {15, 3}} ü 2b. Plot the data using Mathematica. Your plot should be labeled thoroughly and your Mathematica program should be documented (i.e., add comments to describe what your code means). Initialize variables Clear DifData, DifDataplot, DifDatafit, plotDifFit, diffit Place data in list DifData  0, 0 , 5, 1 , 10, 2 , 15, 3  Create scatter plot of data DifDataplot ListPlot DifData, Frame True, GridLines Automatic, PlotStyle RGBColor 1, 0, 0 , PointSize 0.02`  , FrameLabel "Electric Field MV cm ", "Voltage V "  Perform fit and define the fitting function Print "y ", DifDatafit Fit DifData, 1, x ,x  plotDifFit Plot DifDatafit, x, 0, 15 , Frame True, GridLines Automatic, PlotStyle RGBColor 0, 1, 0  , FrameLabel "y data arb. Units ", "x data arb. Units "  Show  command to show the plots pplot and plotpfit on the same graph Show DifDataplot, plotDifFit, PlotLabel "Fit Green Line; Data Red Points" Use LinearModelFit  command that is new to Mathematica 7 diffit LinearModelFit DifData, x, x Provides the adjusted R

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MSE 310 Solns Prob Set 0 - MSE 310/ECE 340 Instructor Bill...

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