Midterm HW

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Arizona State University *

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433

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Electrical Engineering

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Nov 24, 2024

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Homework 1 EEE 433/591 Allee, Fall 2015 V dd = 2.5V Phi = 0.7V (built in potential of pn junction) Cjo = 0 bias capacitance of pn junction Fig. 1 Gate dielectric: SiO2, 10nm thick Calculate the following both for the NMOS and PMOS transistors in the inverter circuit shown (Fig.1). The gate widths are 2um and lengths are 0.5um. The voltage at each node is marked. Note the N-well is at Vdd. 1. Gate overdrive or Veff for NMOS 2. Drain current of NMOS 3. Gate overdrive or Veff for PMOS 4. Drain current of PMOS 5. Voltage between source and bulk for NMOS. 6. Source to bulk capacitance for the NMOS. Note: the area of a source or drain is device width times 0.5um. 7. Voltage between drain and bulk for NMOS. 8. Drain to bulk capacitance for NMOS. 9. Voltage between source and well for PMOS. 10. Source to well capacitance for the PMOS. Note: the area of a source or drain is device width times 0.5um. 11. Voltage between drain and well for PMOS. 12. Drain to well capacitance for PMOS. 13. Gate to source capacitance for NMOS and PMOS. Note the gate area is device width times length. 14. Gate to drain capacitance for NMOS and PMOS. 15. Region of operation for each device linear or saturation. 16. Transconductance of NMOS and PMOS. 17. Output conductance of NMOS and PMOS. 18. If the two drain currents do not match explain what will happen to the output voltage. PARAMETER NMOS PMOS uCox/2 (uA/V 2 ) 120 40 Vth (V) 0.5 -0.5 Lambda (V -1 ) (for L=0.5um) 0.15 0.2 Cgdo (F/m) 2x10 -10 2x10 -10 Cjo (F/m 2 ) 10 -3 10 -3
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Homework 2: eee433 Derive the gain equation for the following op-amp circuit as a function of complex frequency. You can assume the op-amp is ideal. Plot the gain and phase as Bode plots. R2 = 10kOhms, R1=1kOhm, and C1=1pF.
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Homework 3: eee433 Answer the following questions for the common source amplifier below. You are given the following information: ½ u n C ox = 60uA/V 2 ½ u p C ox =20uA/V 2 All L= 2Lmin=1um Lambda nmos = Lambda pmos = 0.1V -1 for 1um gate length All Veff=0.2V I bias =50uA V tn =0.8V V tp = -0.9V C L =10pF V out =V dd /2 1. What is the voltage at node a? 2. What is the width of devices 2 and 3? 3. In terms of transconductances and output conductances and capacitances, what is the dominant pole? 4. Approximately, what is the value of this pole? Note that the load capacitance is very large. 5. What is the equation for low frequency gain? Evaluate numerically. 6. How does the low frequency gain change if I bias doubles holding V eff and L constant for all devices?
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Homework #3 – eee433/591 Design a cascode amplifier (p6 of cascode notes on blackboard) with the following specs and process information: Process Info 0.5um CMOS NMOS PMOS Vt (V) 0.8 -0.9 ½ uCox (uA/V2) 60 20 Lambda (L=1um) (V-1) 0.08 0.1 Cjo (F/m2) 4.2e-4 7.2e-4 PB (V) 0.8 0.87 Tox (nm) 14 14 Cgdo (F/m) 1.9e-10 2.4e-10 Specs Vdd = 5V Pdiss less than 1mW Cload = 1pF Av(0) as big as possible Unity gain bandwidth greater than 1MHz
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Homework 5: eee433 Make an educated guess for the low frequency gain Av(0) and poles of the following op-amps. Note: they are fully differential. You only need to consider one half (left or right).
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