ch03_solutions

# ch03_solutions - 28 CHAPTER 3 3.1 p po = N A = 10 18 cm 3 |...

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Unformatted text preview: 28 CHAPTER 3 3.1 p po = N A = 10 18 cm 3 | n po = n i 2 p po = 10 20 10 18 = 10 2 cm 3 n no = N D = 10 15 cm 3 | p no = n i 2 n no = 10 20 10 15 = 10 5 cm 3 f j = V T ln N A N D n i 2 = 0.025 V ( 29 ln 10 18 cm- 3 ( 29 10 15 cm- 3 ( 29 10 20 cm- 6 = 0.748 V w do = 2 e s q 1 N A + 1 N D f j = 2 11.7 ⋅ 8.854 x 10- 14 F ⋅ cm- 1 ( 29 1.602 x 10- 19 C 1 10 18 cm- 3 + 1 10 15 cm- 3 0.748V ( 29 w do = 98.4 x 10- 6 cm = 0.984 m m 3.2 f j = V T ln N A N D n i 2 = 0.025 V ( 29 ln 10 19 ⋅ cm- 3 ( 29 10 18 ⋅ cm- 3 ( 29 10 20 ⋅ cm- 6 = 0.979 V w do = 2 e s q 1 N A + 1 N D f j = 2 11.7 ⋅ 8.854 x 10- 14 F ⋅ cm- 1 ( 29 1.602 x 10- 19 C 1 10 19 cm- 3 + 1 10 18 cm- 3 0.979V ( 29 w do = 3.73 x 10- 6 cm = 0.0373 m m x n = w do 1 + N D N A = 0.0373 m m 1 + 10 18 cm- 3 10 19 cm- 3 = 0.0339 m m | x p = w do 1 + N A N D = 0.0373 m m 1 + 10 19 cm- 3 10 18 cm- 3 = 3.39 x 10-3 m m E MAX = qN A x p e s = 1.60 x 10- 19 C ( 29 10 19 cm- 3 ( 29 3.39 x 10- 7 cm ( 29 11.7 ⋅ 8.854 x 10- 14 F / cm = 5.24 x 10 5 V cm 3.3 f j = V T ln N A N D n i 2 = 0.025 V ( 29 ln 10 19 ⋅ cm- 3 ( 29 10 15 ⋅ cm- 3 ( 29 10 20 ⋅ cm- 6 = 0.806 V w do = 2 e s q 1 N A + 1 N D f j = 2 11.7 ⋅ 8.854 x 10- 14 F ⋅ cm- 1 ( 29 1.602 x 10- 19 C 1 10 19 cm- 3 + 1 10 15 cm- 3 0.806V ( 29 w do = 1.02 m m x n = w do 1 + N D N A = 1.02 m m 1 + 10 15 cm- 3 10 19 cm- 3 = 1.02 m m | x p = w do 1 + N A N D = 1.02 m m 1 + 10 19 cm- 3 10 15 cm- 3 = 1.02 x 10-4 m m E MAX = 2 f j w do = 2 0.806 ( 29 1.02 x 10- 4 = 15.8 kV cm 29 3.4 f j = V T ln N A N D n i 2 = 0.025 V ( 29 ln 10 18 ⋅ cm- 3 ( 29 10 20 ⋅ cm- 3 ( 29 10 20 ⋅ cm- 6 = 1.04 V w do = 2 e s q 1 N A + 1 N D f j = 2 11.7 ⋅ 8.854 x 10- 14 F ⋅ cm- 1 ( 29 1.602 x 10- 19 C 1 10 18 cm- 3 + 1 10 20 cm- 3 1.04V ( 29 w do = 0.0369 m m x n = w do 1 + N D N A = 0.0369 m m 1 + 10 20 cm- 3 10 18 cm- 3 = 0.365 nm | x p = w do 1 + N A N D = 0.0369 m m 1 + 10 18 cm- 3 10 20 cm- 3 = 0.0365 m m E MAX = 2 f j w do = 2 1.04 ( 29 0.0369 x 10- 4 = 564 kV cm 3.5 f j = V T ln N A N D n i 2 = 0.025 V ( 29 ln 10 18 ⋅ cm- 3 ( 29 10 18 ⋅ cm- 3 ( 29 10 20 ⋅ cm- 6 = 0.921 V w do = 2 e s q 1 N A + 1 N D f j = 2 11.7 ⋅ 8.854 x 10- 14 F ⋅ cm- 1 ( 29 1.602 x 10- 19 C 1 10 18 cm- 3 + 1 10 18 cm- 3 0.921V ( 29 w do = 4.881 x 10- 6 cm = 0.0488 m m x n = w do 1 + N D N A = 0.0488 m m 1 + 10 18 cm- 3 10 18 cm- 3 = 0.0244 m m | x p = w do 1 + N A N D = 0.0488 m m 1 + 10 18 cm- 3 10 18 cm- 3 = 0.0244 m m E MAX = 2 f j w do = 2 0.921 ( 29 0.0488 x 10- 4 = 378 kV cm 3.6 w d = w do 1 + V R f j | (a) w d = 2 w do requires V R = 3 f j = 1.80 V | w d = 1 m m 1 + 5 0.6 = 3.06 m m 3.7 w d = w do 1 + V R f j | (a) w d = 3 w do requires V R = 8 f j = 6.80 V | w d = 0.4 m m 1 + 10 0.85 =1.43 m m 3.8 j n = s E , s = 1 r = 1 0.5 Ω⋅ cm =...
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ch03_solutions - 28 CHAPTER 3 3.1 p po = N A = 10 18 cm 3 |...

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