Consider the simple bipolar op-amp circuit shown in Figure P13.2. The bias current is \(I_{Q}=0.5 \mathrm{~mA}\). Transistor parameters are \(\beta_{n}=180, \beta_{p}=120\), \(V_{B E}\) (on) \(=V_{E B}\) (on) \(=0.7 \mathrm{~V}\), and \(V_{A n}=V_{A p}=\infty\).

(a) Design the circuit such that \(I_{C 3}=0.4 \mathrm{~mA}\) and \(v_{o}=0\) when \(v_{1}=v_{2}=0\).

(b) Find the smallsignal voltage gains (i) \(A_{d}=v_{o 1} / v_{d}\) and (ii) \(A_{2}=v_{o} / v_{o 1}\).

(c) Determine the overall small-signal voltage gain \(A=v_{o} / v_{d}\).

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www RC Vol V = 3 V Q2 2 Rei V=-3 V Figure P13.2 Re Q3 RE= 10.5