A 5-µm long slab of p-type silicon of the type of Fig. 1.36b has been doped non-uniformly along the x-axis according to the profile N,(x) = 1014[1 + 10°exp(-x/(1 µm)]/cm³. Sketch N,(x) vs. x, and show that even if not part of any circuit, the slab possesses a nonzero internal electric field E(x). Calculate E(0) and E(5 um).
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