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midterm 1S_au2008 - I313 331 Midterm#1 Page is W Eli-331...

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Unformatted text preview: I313 331 Midterm #1 Page is W Eli-331 Devices and Circuits i Instructor: Tai~Chang Chen Midterm #1 10:30 — 11:20pm 10/24/2008 Friday Name: SDWCRQ q Student Number: W Notes: 1. This exam is closed book, closed notes, closed homework and homework solutions. You are permitted one 8.5” x 11” double-sided sheet of summary notes. 2. Try to fit your work onto the same sheet as the problem itself. If you need to include additional sheets, place these immediately behind the sheet that the problem is on. 3. Partial credit will be based upon how well you describe what you are doing. 4. Answers with no units, when applicable, will receive zero credit. 5. Good luck! Problem 1: Intrinsic carrier concentration calculation (25 points) In a Boron-doped silicon layer with impurity concentration of 1016 /cm3, find the hole and electron concentrations at 25°C and 125°C. Ito _ Npfi-‘lb cmg; 4w. bat-M Tamra. 25°C£2629tq and. {:L‘iQC. name). ER 331 Midterm #1 Page /5 Problem 2: Diffusion current analysis (2/0 points) Holes are being steadily injected into a region of n—type silicon (connected to other devices, the details of which are not important for this question). In the steadily state, the excess—hole concentration profile shown below is established in. the n—type silicon region. Here “excess” means over and above the concentration Pm. H'ND = 1.0 x 1016 cm'3, ni : 1010 cm's, up = 450 cmles, and W: 5 pm. Find the current density that will flow in the x direction. Pn(x) Z 1000Pn0 _. hi _ lb - D4 '3 . n region ho n i 0| {9 i C. M 15;; B? (lDUDFWO‘PMh m “lb-Jr 1b - m 2) x ism; cm " LENS“ h ‘2 “5 Cm 0 W “a," Dfiiufim mutant. AemsT-tvh r ‘_ 9? JP‘”%DPW 9‘” DP WM 2 otolggxatts‘ozuh BB 331 Midterm #1 Page is {m ”‘1‘ . Problem 3: Depletion layer analysis (2'36 points) A junction in which p and n are doped equally with 1016 cm'3. Assume ni = 1.010 cm'3 . With no external voltage applied. The cross-section area is 100 um‘z. Find (a) the built—in voltage; (’0) the width of depletion region in pm; (0) the junction capacitance Cj ill pF . 01) tat/anew Volfika‘a. , \I»: =v~r va (M) e U0) (J00 * 2656:" (J— .L, E“ NAE‘FNDBV‘“ lxbxlo‘” (low #3576 x 0139/ t O 4’23/MM 4. (a) Cd énél’A _ ll ”€«XS‘W0—“w K ”0° We; 0 745 VIC—4' 00K (0 Problem 4. Diode Circuit Analysis: (25 points) Assuming that the diodes in the circuits are ideal, determine the diode states (ON or OFF) and find the value of voltages (V). 2.0%“ 20K 7- lDKD. [26W _ D " "-1 0.4—5 Zbl4 =45" l m,” .,__ lfoihts Possible“! Your Score Problem} 25 Problem” 1 25 Problem 3 25 Problem 4 455,25? m L Exam Soore 190 ...
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