Consider the circuit in Figure 10.40(a). The transistor and circuit parameters are the same as given in

Question:

Consider the circuit in Figure 10.40(a). The transistor and circuit parameters are the same as given in Problem 10.85 except for the width-to-length ratios of the transistors. Determine the \(W / L\) ratios such that the open-circuit small-signal voltage gain is \(A_{v}=-100\). Also let the dc voltage values be \(V_{G S o}=V_{S G 2}\).

Data From Problem 10.85:-

For the circuit in Figure 10.40(a), the transistor parameters are \(k_{n}^{\prime}=\) \(80 \mu \mathrm{A} / \mathrm{V}^{2}, k_{p}^{\prime}=40 \mu \mathrm{A} / \mathrm{V}^{2}, V_{T N}=0.8 \mathrm{~V}, V_{T P}=-0.6 \mathrm{~V}, \lambda_{n}=0.015 \mathrm{~V}^{-1}\), and \(\lambda_{p}=0.02 \mathrm{~V}^{-1}\). Also, assume \((W / L)_{o}=20\) and \((W / L)_{1}=\) \((W / L)_{2}=35\). The circuit parameters are \(V^{+}=5 \mathrm{~V}\) and \(I_{\mathrm{REF}}=200 \mu \mathrm{A}\).

(a) Determine the \(g_{m}\) and \(r_{o}\) parameters of each transistor.

(b) Determine the open-circuit small-signal voltage gain.

(c) Determine the value of \(R_{L}\) that results in a voltage gain of one-half the open-circuit value.

Figure 10.40(a):-

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