Consider the differential amplifier shown in Figure P11.42 with mismatched transistors. The mismatched transistors result in mismatched

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Consider the differential amplifier shown in Figure P11.42 with mismatched transistors. The mismatched transistors result in mismatched transconductances as shown. The circuit and transistor parameters are \(V^{+}=+10 \mathrm{~V}, V^{-}=-10 \mathrm{~V}, R_{D}=50 \mathrm{k} \Omega, R_{S}=75 \mathrm{k} \Omega, V_{T N}=1 \mathrm{~V}\), \(K_{n}=0.15 \mathrm{~mA} / \mathrm{V}^{2}\), and \(\lambda=0\). Determine \(A_{d}, A_{c m}\), and \(\left.\mathrm{CMRR}\right|_{\mathrm{dB}}\) for \(\Delta g_{m} / g_{m}=0.01\) and for \(v_{O}=v_{D 1}-v_{D 2}\). Assume \(v_{1}=v_{2}=0\) in the quiescent condition.

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