quiz1soln

quiz1soln - ECE 137A Quiz #1 Solution Luis Chen Given...

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Unformatted text preview: ECE 137A Quiz #1 Solution Luis Chen Given doping profile Nd(x) 1018 1015 x 0 1µm Assuming that n(x) = Nd(x). Initially, because of the charge gradient, carriers diffuse from right to left, leaving behind positively charged ions. This in turn establishes an electric field E(x), which tends to pull charges back in the form of a drift current. Under equilibrium, no net current flows inside the semiconductor, hence diffusion current equals drift current. 0 10 10 : 1 0 1 : 0: 1 10 1 , , 0 0 , 0 0 1 1 10 3 ln 10 Φ 10 1 10 · 3 ln 10 · 10 E(x) 1µm x 0 Φ(x) 0 ρ(x) x 1µm 0 x 1µm ...
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