(a) Determine the small-signal parameters \(g_{m}, r_{\pi}\), and \(r_{o}\) of a transistor with parameters \(\beta=180\) and \(V_{A}=150 \mathrm{~V}\) for bias currents of (i) \(I_{C Q}=0.5 \mathrm{~mA}\) and (ii) \(I_{C Q}=2 \mathrm{~mA}\).

(b) Repeat part (a) for \(\beta=80\) and \(V_{A}=100 \mathrm{~V}\) when biased at (i) \(I_{C Q}=0.25 \mathrm{~mA}\) and (ii) \(I_{C Q}=80 \mu \mathrm{A}\).