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ECE_536__Problem_Set_2

# ECE_536__Problem_Set_2 - b Calculate the electric field in...

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ECE 536 Problem Set 2 Due Monday Oct. 6 1. Consider an abrupt P+N junction with N a =2x10 18 cm -3 and N D =1x10 15 cm -3 . If the minority carrier lifetime is τ p =1x10 -6 sec. a) Calculate and graph the p n (x) for a long diode of length L=100um (boundary condition p n (L)=p n0 ) . b) Calculate the current for a forward bias of .5V. c) Repeat a&b for a short diode of length 2.3 microns (boundary condition p n (L)=0). 2. Using the concept of quasi Fermi levels show that the slope of the quasi Fermi levels for electrons and holes must be approximately constant in the depletion region of a PN junction 3. In a one sided P+N junction the maximum value of electric field possible before device breakdown or failure is 1x10 6 V/cm. What is the maximum depletion width for N D doping of a. a) 1x10 15 cm -3 b. b) 1x10 17 cm -3 c. c) 1x10 19 cm -3 4. A Si MOS device has an oxide which is 200 angstroms thick. a. Draw the band diagram of the structure to scale if the doping in the p region is 1x10 15 cm -3 . Indicate clearly the banding bending.

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Unformatted text preview: b. Calculate the electric field in the interface. c. Calculate the flat band voltage. d. Calculate the capacitance measured across the structure. 5. The following capacitance data is measured. Plot 1/C(V) vs V, Calculate the doping profile, plot as log(N(x)) vs W(V) in microns). The area A=10-3 cm 2 V(V) C(F) V(V) C(F) V(V) C(V) 0 8.39e-11 15.09 6.8e-12 26.29 2.37e-12 .94 4.63e-11 15.62 6.38e-12 28.038 2.24e-12 2.16 3.20e-11 16.07 6.01e-12 29.86 2.12e-12 3.52 2.44e-11 16.47 5.68e-12 31.79 2.02e-12 4.93 1.97e-11 16.81 5.38e-12 33.82 1.93e-12 6.34 1.66 e-11 17.36 4.88 e-12 35.94 1.84 e-12 7.69 1.43 e-11 17.84 4.36 e-12 38.16 1.76 e-12 8.96 1.26 e-11 18.17 3.95 e-12 40.48 1.69 e-12 10.14 1.12 e-11 18.39 3.60 e-12 42.89 1.62 e-12 11.21 1.01 e-11 19.06 3.32 e-12 45.40 1.56 e-12 12.18 9.22 e-12 20.31 3.07 e-12 48.01 1.51 e-12 13.05 8.47 e-12 21.60 2.86 e-12 50.71 1.45 e-12 13.81 7.83 e-12 23.11 2.67 e-12 14.49 7.28 e-12 24.65 2.51 e-12...
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ECE_536__Problem_Set_2 - b Calculate the electric field in...

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