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MSE+302+Problem+Set+1

MSE+302+Problem+Set+1 - MSE 302 2008 Problem Set 1 Due...

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MSE 302 Problem Set 1 Due April 16, 2008 1. Using a suitable program (we recommend MS Excel for this) produce a plot showing the theoretical limit on how high the current density could be as a function of device thickness for Si or GaAs solar cells. On the course website, there are Excel tables with the solar irradiance and the absorption coefficients of Si and GaAs starting at the wavelength corresponding to the bandgap for each material. Transmission is given by T = exp(- α x), where α is the absorption coefficient and x is the thickness. Assume that there is no reflection, even though this is not even close to being true unless an antireflection coating is used, and that the fraction of light absorbed is therefore A = 1 – T. Assume that only one electron can be extracted per photon absorbed. Plot the data in units of mA/cm 2 versus microns (from 0 – 400 μ m for Si, and 0-5 μ m for GaAs). You should only need to calculate the current for about eight different
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