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A silicon npn bipolar transistor is uniformly doped and biased in the forward-active region. The neutral base width is xB = 0.8 μm. The transistor doping concentrations are NE = 5 x 1017cm-3 , NB = 1016 cm3 ,and NC = 1015 cm cm-3 . (a) Calculate the values of pE0, nB0 and pC0, (b) For VBE = 0.625 V, determine nB at x = 0 and pE at x′= 0.?
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A silicon npn bipolar transistor is uniformly doped and biased in the ...
Calculation of pE0, nB0, and pC0

Given:


  • NE = 5 x 10^17 cm^-3

  • NB = 10^16 cm^-3

  • NC = 10^15 cm^-3

  • xB = 0.8 μm



Using the relation:

np = ni^2


Where ni is the intrinsic carrier concentration.


At equilibrium, nB0pE0 = ni^2 and nB0pC0 = ni^2


Thus,


  • ni^2 = (1.5 x 10^10)^2 = 2.25 x 10^20 cm^-6

  • nB0 = sqrt(2.25 x 10^20/5 x 10^17) = 94,868.33 cm^-3

  • pE0 = ni^2/nB0 = 2.37 x 10^14 cm^-3

  • pC0 = ni^2/nB0 = 2.37 x 10^14 cm^-3



Determination of nB at x = 0 and pE at x′= 0 for VBE = 0.625 V

Using the relation:

nB(x) = nB0 * exp(VBE/VT) and pE(x') = pE0 * exp(-VBE/VT)


Where VT is the thermal voltage, kT/q.


At room temperature, VT = 25.85 mV.


Thus,


  • nB(0) = nB0 * exp(VBE/VT) = 94,868.33 * exp(0.625/0.02585) = 3.18 x 10^8 cm^-3

  • pE(0) = pE0 * exp(-VBE/VT) = 2.37 x 10^14 * exp(-0.625/0.02585) = 1.11 x 10^10 cm^-3



Therefore, nB at x = 0 and pE at x′= 0 for VBE = 0.625 V are 3.18 x 10^8 cm^-3 and 1.11 x 10^10 cm^-3 respectively.
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A silicon npn bipolar transistor is uniformly doped and biased in the forward-active region. The neutral base width is xB = 0.8 μm. The transistor doping concentrations are NE = 5 x 1017cm-3 , NB = 1016 cm3 ,and NC = 1015 cm cm-3 . (a) Calculate the values of pE0, nB0 and pC0, (b) For VBE = 0.625 V, determine nB at x = 0 and pE at x′= 0.?
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A silicon npn bipolar transistor is uniformly doped and biased in the forward-active region. The neutral base width is xB = 0.8 μm. The transistor doping concentrations are NE = 5 x 1017cm-3 , NB = 1016 cm3 ,and NC = 1015 cm cm-3 . (a) Calculate the values of pE0, nB0 and pC0, (b) For VBE = 0.625 V, determine nB at x = 0 and pE at x′= 0.? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A silicon npn bipolar transistor is uniformly doped and biased in the forward-active region. The neutral base width is xB = 0.8 μm. The transistor doping concentrations are NE = 5 x 1017cm-3 , NB = 1016 cm3 ,and NC = 1015 cm cm-3 . (a) Calculate the values of pE0, nB0 and pC0, (b) For VBE = 0.625 V, determine nB at x = 0 and pE at x′= 0.? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A silicon npn bipolar transistor is uniformly doped and biased in the forward-active region. The neutral base width is xB = 0.8 μm. The transistor doping concentrations are NE = 5 x 1017cm-3 , NB = 1016 cm3 ,and NC = 1015 cm cm-3 . (a) Calculate the values of pE0, nB0 and pC0, (b) For VBE = 0.625 V, determine nB at x = 0 and pE at x′= 0.?.
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