Exam03 Charts &amp; Formula Sheet_ECE474_S07

Exam03 Charts &amp; Formula Sheet_ECE474_S07 -...

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Unformatted text preview: Constants and Formulas -1q{ = 1.6x10 9C me = 9.1 x 10'31 kg -23 -5 k = 1.38x10 J/K =8.62X10 eV/K kT for T = 300 K = 0.0259 6V kT for T = 400 K = 0.0345 eV h = 6.63x10-34Js 11 = 11/27: =1.05x10'34Js c = 3 x108 111/5 80 = 8.85 x 10’14‘ F/cm = 8.85 x10'14 C/V cm leV = 1.6x 10'191 8 -10 1angstrom=10- cm = 10 m U =1N-m 1N =1kgm/s‘2 1V01t=1J/C 1Farad =1 C/Volt 1 kGauss = 10—5 Wb/cm2 = 10-5 V s /crn2 2 2 1 Boron: [ls ]23 2p 2 2 2 Phosphorous: [Is 23 2136] 3s 3p3 ForSiat300K ni=1.5x1010cm'3 Egap=1.11ev 3R=11.8 ForGeat300K ni:2.5x1013cm-3 Egap=0.67ev 8R=16.o , 5 - _-- 8R =39 Quadratic formula: —b i \/ b2 - 4ac 2a + space charge neutrality: p0 + Nd = no + Na- me = ni exp (E1: - Ei)/l<T P0 = ni exp (Ei - EF)/kT 2 noPo 2 Hi Capacitance = 8 Area / distance = Q/V I = charge/time = (unit charge) (Concentration) (Area) (velocity) 5P = gop Tp : 5n = g0p ’Cn AB = hem ’ I019 :quOp (Lp+Ln+W) ll qu kT 1n Engg ni w = \/28(V0~V£(.1___+__1_) q KNa Nd J xno = W/(1+ Nd/Na) xpo = w/(1+Na/Nd) Einstein relation: Du = 29. : KI Lp : VDpr and Ln : VDn Tn Diode Equation: I = quDE Pn + Dn n \ (exp qV/kT _ 1) K LP Ln ) - X /L V / kT Ip(xn) : qA Ep— pn EXP I] p (equ _ Lp — x /L V / kT I11%): 01A 22 n13 exp p n (eXPq - Ln Qd=qNaW Qd : q Nd W CiZSj/di VT goal: VT + (lion Fion/ Ci ID = kN{(Vg~VT) VD -1/2 VD2 kN = gnZCi /L ID = 1/2 male—Val = kNU/zvpz) 8p(xn) = C1 exp “M + C2 exp’xn/Lp c1 = Ago —AQEeX§'Xu/Lp P _ ‘ P exp exp C2 = ABECXExn/Lp - ABC P - p exp - exp ApE = pn(exp WEB“ - 1) Ape = pn(eXp “CB“ - 1) 113,, = qAQIL { ApE ctnhﬂb — Apc csch Kg} Lp k Lp Lp J IC = qAQp_ ( ApE cschﬂh =~ Ape ctnh Eh} Lp k Lp Lp J 13 = (JADE- (APE + Mata—Rh .W_h Lp 2L!) 2 g 5 g 2 E E 3 ...
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