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Show your work. Calculate the electron current for a 10 nm diameter beam. For a tungsten filament operating at 2800 K, calculate the current density. Calculate the wavelength and the speed of electrons for an accelerating voltage of 200 kV. 4. Using the Rutherford scattering model calculate how thick an Fe sample must be so that on average one in five 100 KeV electrons produces a backscattered electron by a single scattering event.