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COLORADO STATE UNIVERSITY ECE 332: ELECTRONIC PRINCIPLES II HOMEWORK 5 1. In a MOS cascode amplifier, the cascode transistor is required to raise the output resistance by a factor of 40. If the transistor is operated at |πππ | = 0.2 π, what must its ππ΄ (the early voltage) be? If the process technology specifies πβ²π΄ = 5π/ππ,(Early voltage per unit channel length in οm). what channel length must the transistor have? 2. For a cascode current source shown in the figure on the right, show that if the two transistors are identical, the current πΌ supplied by the current source and the output resistance π π are related by πΌπ π = 2|ππ΄ |2 /|πππ |. Now consider the case of transistors that have |ππ΄ | = 4 π and are operated at |πππ | = 0.2π. Also, let ππ πΆππ₯ = 100ππ΄/π 2 . Find the π/πΏ ratios required and the output resistance realized for the two cases: (a) πΌ = 0.1ππ΄ and (b) πΌ = 0.5ππ΄. Assume that πππ· for the two devices is the minimum required (|πππ |). 3. Design the circuit in the figure from problem #2 to provide an output current of 100ππ΄. Use ππ·π· = 3.3 π, and assume the PMOS transistors to have ππ πΆππ₯ = 60ππ΄/π 2, ππ‘π = β0.8 π, and |ππ΄ | = 5 π. The current source is to have the widest possible signal swing at its output. Design for πππ = 0.2 π, and specify the values of the transistor π/πΏ ratios and of ππΊ3 and ππΊ4. What is the highest allowable voltage at the output? What is the value of π π ? 4. The cascode transistor can be thought of as providing a βshieldβ for the input transistor from the voltage variations at the output. To quantify this βshieldingβ property of the cascode transistor, consider the situation in the figure on the right. Here we have grounded the input terminal (i.e, reduced π£π to zero), applied a small change π£π₯ to the output node, and denoted the voltage change that results at the drain of π1 by π£π¦ . By what factor is π£π¦ smaller than π£π₯ ? Page 1 of 1