3.13 Si pn junction Consider a long pn junction diode with an acceptor doping Naof 1018 cm-3 on the p-side and donor concentration of Nj on the n-side. The diode is forward biased and has a voltage of 0.6 V across it. The diode cross-sectional area is 1 mm2. The minority carrier recombination time, T, depends on the total dopant concentration, Ndopant (cm), through the following approximate empirical relation (5x 10-7)/(1 + 2 10-17N1°pan.) where T is in seconds. (a) Suppose that N 1015 cm-3. Then the depletion layer extends essentially into the n-side and we have to consider minority carrier recombination time, Th, in this region. Calculate the diffusion and recombination contributions to the total diode current given N, 1018cm 3 and N-10'5 cm-3 Use Table 3.3 for u, and Mn What is your conclusion? (b) Suppose that N,- .. Then W extends equally to both sides and, further, Te = Th. calculate the diffu- and Na-10 cm-3. Use sion and recombination contributions to the diode current given N-101 cm Table 3.3 for ue and u What is your conclusion? 3.13 Si pn junction Consider a long pn junction diode with an acceptor doping Naof 1018 cm-3 on the p-side and donor concentration of Nj on the n-side. The diode is forward biased and has a voltage of 0.6 V across it. The diode cross-sectional area is 1 mm2. The minority carrier recombination time, T, depends on the total dopant concentration, Ndopant (cm), through the following approximate empirical relation (5x 10-7)/(1 + 2 10-17N1°pan.) where T is in seconds. (a) Suppose that N 1015 cm-3. Then the depletion layer extends essentially into the n-side and we have to consider minority carrier recombination time, Th, in this region. Calculate the diffusion and recombination contributions to the total diode current given N, 1018cm 3 and N-10'5 cm-3 Use Table 3.3 for u, and Mn What is your conclusion? (b) Suppose that N,- .. Then W extends equally to both sides and, further, Te = Th. calculate the diffu- and Na-10 cm-3. Use sion and recombination contributions to the diode current given N-101 cm Table 3.3 for ue and u What is your conclusion?


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