For the circuit in Figure P4.39, (R_{S}=1 mathrm{k} Omega) and the quiescent drain current is (I_{D Q}=5

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For the circuit in Figure P4.39, \(R_{S}=1 \mathrm{k} \Omega\) and the quiescent drain current is \(I_{D Q}=5 \mathrm{~mA}\). The transistor parameters are \(V_{T N}=-2 \mathrm{~V}\), \(k_{n}^{\prime}=100 \mu \mathrm{A} / \mathrm{V}^{2}\), and \(\lambda=0.01 \mathrm{~V}^{-1}\).

(a) Determine the transistor width-tolength ratio.

(b) Using the results of part (a), find the small-signal voltage gain for \(R_{L}=\infty\).

(c) Find the small-signal output resistance \(R_{o}\).

(d) Using the results of part (a), find \(A_{v}\) for \(R_{L}=2 \mathrm{k} \Omega\).

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