Consider the simple BiCMOS amplifier shown in Figure P13.49. The bipolar transistor parameters are (beta_{n}=beta_{p}=120, V_{B E})

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Consider the simple BiCMOS amplifier shown in Figure P13.49. The bipolar transistor parameters are \(\beta_{n}=\beta_{p}=120, V_{B E}\) (on) \(=V_{E B}(\) on \()=0.7 \mathrm{~V}\), \(V_{A}=\infty\), and the MOS transistor parameters are \(V_{T N}=0.4 \mathrm{~V}, K_{n}=\) \(3 \mathrm{~mA} / \mathrm{V}^{2}, \lambda=0\).

(a) Design the circuit such that \(I_{C Q 3}=I_{D Q 1}=300 \mu \mathrm{A}\) and \(v_{o}=0\) for \(v_{1}=v_{2}=0\).

(b) Determine the small-signal voltage gain of the first stage \(A_{d}=v_{o 1} / v_{d}\).

(c) Find the small-signal voltage gain of the second stage \(A_{2}=v_{o 2} / v_{o 1}\).

(d) Determine the small-signal voltage gain of the third stage \(A_{3}=v_{o} / v_{o 2}\).

(e) Find the overall differential voltage gain \(A=v_{o} / v_{d}\).

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