Midterm1S01 - {m QN 4 N K I Rm Ime I 19W” INN B I I x x...

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Unformatted text preview: {m QN 4: N K I Rm . Ime I : 19W” . INN B, I I ' x x «i Q 9.3% m A 3 + w 56 .EEEE nab.u 2: E finfixom uuamobuflu 2F E , , > ‘ , / MS I . I E NE 9%: n {III 2 I a .:mvaI In; Md w ,wI. u 3: IL. 5 s s c 5 JV I I . l I . . I MI E S £ I II I S 2:53“ $3 I i) buom m I Mfisxw m; mm 6 b N , . H N I! I I . u? om f n5 3.9 ham A .: aw I . x . é inane 25.; us 5 €52 @9832” 2: a .> Two was cum—um.“ :d 5.“ 59a :5 non cocoasnofimo nocwzummmu 2t Baguio OZ 3an S X , .I MJr‘WbQW‘ I ID.“ I 9% . I \ . I \ I Whgxlf W I MIEU$0 Im wuxcnmn: N.§ wnslw Q1 A ~ II “RN [A .‘vafi mi «~0wa H «25an $3\ n :> .éiEEE onbé 2t E Santana—Bu Eon 2:. a s: I I i MS I 35 23 E 22%: a Ea a 2: 5233 moatEE 05 S 98:; are EEqu ufi Bissau S Eamon S, {w \ . I Q XIW n Musxu QQN II M E II I‘m H mi {m E .4: a w I QN 90 a N A . . c . «568 o . m E nocnbcoucoo .8502» BE. 0 «2w n.\N\I “SK I Skflmwnw H St): H usianH AOIHKVw‘ ~ 5 xx I I > Qifi IN @N .25 SUN 3 mcommE a E; m 2: Evian Montoya ea 3 Eng 85qu 05 33520 Q ?.::on NV {u bx XIW M +02 H ml M I. A. A I. ‘ WWV I$ ‘ \x an finest 25h ca E 523528 Box 25 3 ~ I :3 02h H . I.“ § 2: N. I .w I. $\m$ 4» 93: 1| | T ‘25 Sun an couozz‘aufimo 2% Wume 2: co SEE “wwwvcocflauv ufi 22330 D, Gammon NV M I .1 nIn .2 x N I a2 I S "3C 1 III 5;in .Q I «Izwbid +\ H a2 I: n c X en "REES 25.: 06 E couguuucoo uohoflu ED. 3 [I VI‘IIII‘ \ . v Q R E1323 m Q35 &\ A A \< \< .> mmod "NA 6:» EEEKEB F68 um $3553 @5820“ \ . _ I y h N. .{NEQG UTIQJS; I x. k? ,, 05 ofiufifiov 030E .M.Eu 52% .3 5.95528 .5388 5. fits vumov cauwzm .«o 5&8 089d m was 5.;va H 331 3 ~ III“ M i m \ Vx§K$IoIMmfiXA <5 NI\, I + d) WIN n 0%? . was nowzmwo cougnuoug Snow a 5T5 vumov :ouEmmo Fowa cube 5 5933 BEE.“ M. acacia Zm < $5 PEN a c265... 2: Mo 2% “age 2: :0 £23 has :ouufiuv 2: 22315 Q Anion 5 v9 5.: m o 8:: m o .D no.5 Z 23 255535"— ._ 63E . u .~ I . R $va 3: 0m max \ ,v S WM 9.5 :2 y, mogum HEB VEu 29 NE .cocmhuuucou 3E8 ufifibfi 96 “m8 othunEs E02 um :ouEm .é “.838 Bi >2: :0.» .mENEu 00m mm 3:52: 20: ufi 5 u ‘ .mju Q} d. «MIXQTQ Vim NC) QQM VAUEIEX wcw H \Q‘kxm “H «0 Ba w>JEu coo“ mm cauEm 5 3:508 coho»? 08 “me 2:33 >5: so» 4:38 Manna.qu $333 and “oh . In . . .zocucs‘aufi we “65 unofi us no :omme E53433 B: E b33238 2: 225:6 Am Amfiom NV “Sancmfi 60332 8 52m 33 mgr—053:: oz 358 mm. .88. I \n E x. _ Efiom #3 N 5m \ m “25.7 50> Eta Lflq H 3M$$6IV Ikfimgmd I Au; fin 2:632:95» \3 3% l Efiom N: "3: ram 2.53 E >65 E; 20anst x5 82w .4 Esau, 5.53 2E G 358 a :25 .85 N: I 53 860.6 5::m an 2133— EMMPQMZ 32556 4 _ om. mo.m0n mm Egon NV 95% 3 353 a Anion 3 $58 a 25% 8 95% c 958 z 2. Carrier concentrations and currents in semiconductors Consider a piece of Silicon at room temperature containing P atoms and B atoms with the profiles shown in the graph to the left. In addition, there is a constant electric field of 10 V/cm present in the region. VT: 0.025 V, [1,, = 700 cmz/(V s), and pp = 250 cmZ/(V s). I No 71V)? >214; M, ~19} >>x4g (4 pomts) A) Please calculate the electron and hole concentrations at x = 0 pm. Doping Concentration [crria] -' a 2g -3 “(0) :Mpw) 7' 9(0) I 10/71 3— 10/50» 3 : ?x/0 Clay 2 - A [A ~ Mt, — lozocm é a 1 l 1 ‘ 5 L0} — .——— v - ,m I” "(0) ?x10’éfmvg l I I I C (4 Pomts) B) Please calculate the electron and hole concentratipns at x = 5 pm. '3 [6' b; -' V4574“) ZNFQ) 7/94/53 :- 2x10 60? ss/Q’ém I .: /0 (w I I ,z 7' ' 20 ,é ' ‘ ‘ Y1 / p 4 '3 l0 3 t : pi: ; )0 0:4 '7 [7) / 0/607; (6 points) C) Calculate the electron and hole drift current densities at x = 0 pm. H e ‘ l _ L/ 1Wido) : 5/44,, mo) ,5 :‘Qéxm 1%)[700-\:MT)(7X/0/é(m $0067; A. 2%1003 5:2 , ~ ma -. 1” Jrffin#&;0) :f/‘O/M); : [/,6X/0 l?)[25076:§)(/lll (Mi/A957" . m : Ll‘LH ———1 CF" (6 points) D) Calculate the electron and hole diffusion current densities at x = 0 pm. 2‘”; ; L——_‘°)“”(z“'") :_ W'é’m'? Home} :; 4pm” an"? lb“ 49 “ 5/4”” s 611047», A “a :90 £3 = @ém“"'c)</%5;v’"z)Hat/0200’”? =“ W 07a JV) — 2 kT ml I __ L am By) 2M" 3—: :(7v00731’5‘) (234%)) V . ‘I— 1 Ma / \I " i v w w 6;; :(250 $.5szme ~ é s if); E“ Pm) ‘7’ (37‘4") ; (“Ham-3) '— 1072"”) _ {figs/072m“? 5 '571’” —§xm“" (W7 ' [0’4 __§ (1“: ~ Mo 5% : ~[l-éx;o“?)(é:2y%5CI-?6’W0§m‘49 : - WE? m2 (4 points) E) Indicate the direction of each component of current at x = 0 pm by placing arrowheads on the lines below: E W ; it,“ E . drift ——) - drift Jr: E JP 9 ...
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