The transistor parameters for the circuit in Figure P11.9 are: \(\beta=120\), \(V_{B E}\) (on) \(=0.7 \mathrm{~V}\), and \(V_{A}=\infty\).

(a) Determine \(R_{E}\) such that \(I_{E}=0.25 \mathrm{~mA}\).

(b) Assume the \(R_{B}\) resistance connected to the base of \(Q_{2}\) is zero while the \(R_{B}\) resistance connected to the base of \(Q_{1}\) remains at \(0.5 \mathrm{k} \Omega\). (i) Determine the differential-mode voltage gain for a one-sided output at \(v_{O 2}\). (ii) Determine the common-mode voltage gain for a one-sided output at \(v_{O 2}\).

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Rc=50 k +10 V RB = 0.5 k www VOI V02 +1 JE Rc = 50 kQ Q2 RB = 0.5 k www RE Figure P11.9 -10 V 0, +1