Based on the parameters and the circuits in Fig.6.13, analyze the following problems. (a) At Rth = 0,0.8 x 104, 1.6x104K/W, what happens to the DC transfer curve of the circuit? (b) Consider a ring oscillator made of a ll-stage inverter. At Rth = 0,0.8 X 104 ,1.6 x 104K/W and Cth = 0,7 x 10-10 J/K, what is the oscillation frequency at the beginning? When the thermal equilibrium is reached, what is the oscillation frequency? How much time does it take to reach thermal equilibrium? (c) If the inverter is changed to a 2-input NAND or NOR gate, repeat (a) and (b). Which logic gate (NAND or NOR) is more sensitive to the self-heating effect? (d) If the load capacitance is 2pF, repeat (a)-(c). Discuss the self-heating effect on the performance of the circuit operating at high and low speeds.
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