For the circuit in Figure P6.15, the transistor parameters are (beta=100) and (V_{A}=infty). Design the circuit such

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For the circuit in Figure P6.15, the transistor parameters are \(\beta=100\) and \(V_{A}=\infty\). Design the circuit such that \(I_{C Q}=0.25 \mathrm{~mA}\) and \(V_{C E Q}=3 \mathrm{~V}\). Find the small-signal voltage gain \(A_{v}=v_{o} / v_{s}\). Find the input resistance seen by the signal source \(v_{s}\).

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