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Using MATLAB or Excel, develop a simulation tool that would ask a user the type of the semiconductor (p or n type), doping density,

  

Using MATLAB or Excel, develop a simulation tool that would ask a user the type of the semiconductor (p or n type), doping density, and surface potential in a silicon based MOS capacitor and then plot the energy diagram only in the semiconductor. So the simulation inputs are: 1- choice of type: p or n, 2- N=?, 3- y=? Output: A figure (plot) with y-axis being Energy (eV), x-axis distance (m) with x=0 being the surface of the semiconductor. The plot should have 4 curves for Ec, Ev, E, and Ei. Note: You are not expected to write a code to solve Poisson's equation, but you can write the code to plot the analytical solution of the Poisson's equation (ax+bx+c with a, b, and c being functions of doping density, y, and considering the type of semiconductor. Submission and grading rules: a. If you use MATLAB, submit a bug free .m file b. If you use Excel, submit the Excel file c. Grading process will be done by me testing the codes for arbitrary values of N, y and choosing the semiconductor type. d. When I test the code I verify the correctness of the software by verifying the energy difference between the Ei and EF in the bulk and at the surface, and the numerical value of xp (or xn) presenting the depth of depletion region.

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