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ECE3040_Homework3_Solution

ECE3040_Homework3_Solution - GEORGIA INSTITUTE OF...

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ECE 3040B: Homework #3, Solution September 19, 2011 Page 1 of 4 G EORGIA I NSTITUTE OF T ECHNOLOGY S CHOOL OF E LECTRICAL AND C OMPUTER E NGINEERING ECE 3040C: Microelectronic Circuits Fall Semester 2011, Homework #3 SOLUTIONS 1. Pierret, Problem 3.6, parts (a), (b), (c), and (d) (20 points)

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ECE 3040B: Homework #3, Solution September 19, 2011 Page 2 of 4 2. Pierret, Problem 3.12, parts (a)-(f) for graph P3.12(f) (20 points)
ECE 3040B: Homework #3, Solution September 19, 2011 Page 3 of 4 3. Pierret, Problem 3.20 (30 points)

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ECE 3040B: Homework #3, Solution September 19, 2011 Page 4 of 4 4. Pierret, Problem 5.4 (20 points) (a) V bi = kT q ln N A N D n i 2 ! " # \$ % & = 0.0259 ln 2 ' 10 15 10 15 10 20 ! " # \$ % & = 0.614V (b) x p = 2K s ! 0 q N D N A N A + N D ( ) V bi = 2 " 11.7 " 8.85 " 10 # 14 1.6 " 10 # 19 10 15 2 " 10 15 3 " 10 15 ( ) 0.614 = 3.64 " 10 # 5 = 0.36 μ m x n = 2K s ! 0 q N A N D N A + N D ( ) V bi = 2 " 11.7 " 8.85 " 10 # 14 1.6 " 10 # 19 2 " 10 15 10 15 3 " 10 15 ( ) 0.614 = 7.28 " 10 # 5 = 0.73 μ m W = x n + x p = 1.09 μ m (c) ! = qN D K s ! 0 x n = 1.6 " 10 # 19 " 10 15 11.7 " 8.85 " 10 # 14 " 0.73 " 10 # 4 = 11280 V /cm (d) V = qN A 2K s ! 0 x p 2 = 1.6 ! 10 " 19 ! 2 ! 10 15 11.7 ! 8.85 ! 10 " 14 ! (0.36 ! 10 " 4 ) 2 = 0.40 V (e) Sketches of charge distribution, electric field and electrostatic potential are analog to Slide
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