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Electronics (1) EE 220 First Exam Q1: Given a uniformly doped n-type semiconductor having an area of A=10-5 cm2. If a 4 volt voltage is applied across the device and the device current is 2mA where the length of the device is L=0.1cm. If n=1360 cm2/V.s and p=400 cm2/V.s find (a) the doping of the sample (b) the resistivity of the material. Q2: E /(2 kT ) Given a uniformly doped semiconductor having donor doping of 1015cm-3 and if ni 4.88 1015 T 3 / 2 e g . o a) Calculate the electron and hole concentrations and the resistivity of the sample if T=450 K, Eg=1.02eV, n=400 cm2/V.s, p =150 cm2/V.s, and k 8.62 10 5 eV/K b) If an electric field of (104 V/cm) is applied on the sample, calculate the velocity of the electrons and holes. Q3: For a PN silicon diode has NA=3x1017 cm-3 and ND=8x1017 cm-3. Assume the following parameters for Silicon: ni=1010 cm-3, 0=8.85x1014 F/cm, R=Ks=11.8, q=1.6x10-19, KT/q=26mV, KT=26meV Calculate 1) The build-in voltage 2) Depletion region width 3) Maximum electric field (0) 4) np0, nn0 , pp0 and pn0 5) plot n(x), p(x) and (x) showing their numerical values in each region 6) Explain why the diode reverse bias current is much less than the forward bias current? EE220- Electronics I Electrical Engineering Department Q4: Given the following energy band diagram for Silicon where ni=1010 cm-3 and Eg=1.12eV 0 x1 L/2 x2 L x Ec Ei Ef 0.15eV 0.8eV 1) 2) 3) 4) Find n and p at .x=0, x1, L/2, x2 and L What is the type of the material at x=0, x1, L/2, x2 and L Plot electric field (x) and potential V(x) Find the total current at x=L/2 EE220- Electronics I Electrical Engineering Department Ev Electronics (1) EE 220 Second Exam Q1) The diode in the circuit of Fig.1 has the following I-V-characteristic equation iD=10-3(vD2 –0.25) Amp for vD>0.5, Then: a) Find and Draw the DC load line and the Q-point conditions (i.e. IDQ & VDQ)? b) Find the dynamic resistance of the diode rd? c) Find VL(t)? vD 1K Fig.1 + 1K 1m sin(0t) A 10V ~ Q2: For the circuit shown, if vi=20sin(600t) V a) Sketch vi and vR identify all critical points on the plot vi b) Find the output DC voltage (vR) c) Mention two applications for this circuit + VL(t) iD(t) 1K 1mA - 1:1 - ~ + 1k 1:1 EE220- Electronics I Electrical Engineering Department + vR - 200F Q3) A) (5 points) For the circuit shown in Fig. 1, assume that the turn-on voltage of the diodes is 0.7V. Plot and explain the output voltage (Vout) as a function of time “label all points in the figure” 2V D1 Vin + Vout 20V Vin -5V ~ 500 time - Figure (1) Vin B) (3points) For the circuit shown, assume VD=0.7V , VR=4V and the input is as shown. Plot Vo(t) + 10V Vin time + ~ - Vo VR -10V Figure (2) Q4) For the circuit of Fig.3, if β =200 and VBEQ=0.7V. Find the operating currents IBQ, ICQ, and IEQ, assuming VCEsat=0.24V. 50KΩ 1KΩ Fig.3 5.7V EE220- Electronics I Electrical Engineering Department 10V Electronics (1) EE 220 Final Exam Time:2hr Answer All Questions. Show your work in details, and find final numerical answer Q1: (a) A PN diode has Na=4x1017 cm-3 and ND=3x1018 cm-3. Calculate the depletion region width and build-in voltage. Assume ni=5x1010 cm3 , 0=8.85x10-14 R=Ks=11.8, q=1.6x10-19, KT/q=26mV (4 marks) D2 D1 500 (b) For the circuit shown in Fig. 1, assume that the turn-on voltage of the diodes is 0.7V. If Vin=10sin(300t) volt, plot and explain the output voltage (Vout) as a function of time “label all points in the figure” (9 marks) Vout Vin 4V 6V Fig.1 Q2: For the MOSFET shown in Fig.2, if kn = 2x10-3A/V2, VTN = 2V and r0=100KΩ. Find the following: 1) Find the values of VGSQ, IDSQ, VDSQ, and gm? 2) Find and plot the DC and AC Load Line-equations? 20K 3) Draw the small signal model for the circuit ? 4) Find the voltage gain VL/Vi? vi +24V 1.5k 4.8M C C + vL 7.5k + ~ - 2.4M Fig. 2 500 Zin EE220- Electronics I Electrical Engineering Department Zout - Q3: For the circuit shown, assume VBEQ=0.7V, =100 hre=0, hoe=1/ro=10-4 S find 1) ICQ and VCBQ ? 2) Draw the small signal model for the circuit? 3) Find small-signal gain (vL / vi)? -5V 10V 3k 2k C 100 vi + ~ - 3k - Fig. 3 Q4: For the circuit shown, assume =120, VBEQ=0.7V find a) IBQ, and dynamic resistance (r) b) Draw AC-equivalent circuit c) Find Rc which provide maximum symmetrical swing d) Find small-signal gain (vL / vi) +10V Rc C 10k vL C + vi 3k ~ - 4k 200 EE220- Electronics I Electrical Engineering Department + vL CE Q5) For the emitter follower circuit of Fig.3, if β=100 and VBEQ=0.7V. Find the following: a) Determine the maximum symmetrical swing conditions of the Q-point? b) Find the values of R1 and R2 that will give us the Q-point conditions in (a)? c) Find and Sketch the DC and AC Load Lines? Identify on the plot all critical points. 10V R2 400Ω 1KΩ VS ~ R1 1KΩ 1.5KΩ + VL - Fig.3 Q6) For the circuit shown in Fig 4, assume =100, VBEQ=0.7V find a) ICQ, VCBQ and dynamic resistance (r) 100 b) Draw AC-equivalent circuit c) Draw DC and AC load lines and identify on them the Q-point and the cut-off, + active and saturation and reverse regions. vi ~ d) Find small-signal gain (vL / vi) C vL 8k 1k 4k EE220- Electronics I Electrical Engineering Department 10V 3k