The transistor in the circuit in Figure P7.19 has parameters (K_{n}=) (0.5 mathrm{~mA} / mathrm{V}^{2}, V_{T N}=1

Question:

The transistor in the circuit in Figure P7.19 has parameters \(K_{n}=\) \(0.5 \mathrm{~mA} / \mathrm{V}^{2}, V_{T N}=1 \mathrm{~V}\), and \(\lambda=0\).

(a) Design the circuit such that \(I_{D Q}=\) \(1 \mathrm{~mA}\) and \(V_{D S Q}=3 \mathrm{~V}\).

(b) Derive the expression for the transfer function \(T(s)=I_{o}(s) / V_{i}(s)\). What is the expression for the circuit time constant?

(c) Determine \(C_{C}\) such that the lower \(3 \mathrm{~dB}\) frequency is \(10 \mathrm{~Hz}\).

(d) Verify the results of parts (a) and (c) with a computer simulation.

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