An NMOS transistor has parameters (V_{T N}=0.4 mathrm{~V}, k_{n}^{prime}=100 mu mathrm{A} / mathrm{V}^{2}), and (lambda=0.02 mathrm{~V}^{-1}). (a)

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An NMOS transistor has parameters \(V_{T N}=0.4 \mathrm{~V}, k_{n}^{\prime}=100 \mu \mathrm{A} / \mathrm{V}^{2}\), and \(\lambda=0.02 \mathrm{~V}^{-1}\).

(a) (i) Determine the width-to-length ratio \(W / L\) such that \(g_{m}=0.5 \mathrm{~mA} / \mathrm{V}\) at \(I_{D Q}=0.5 \mathrm{~mA}\) when biased in the saturation region. (ii) Calculate the required value of \(V_{G S Q}\).

(b) Repeat part (a) for \(I_{D Q}=0.15 \mathrm{~mA}\).

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