(10 points)
For both transistors in the amplifier below \(\beta=100\), \(V_{BE}=0.7V\), \(V_A=103V\), and \(V_{EC(sat)}=0.2V\). The zener diode can be modeled as a constant voltage source of \(V_Z=3.3V\). Also \(R_S=50\Omega\), \(R_1=2230\Omega\), \(R_B=97.929k\Omega\), \(R_C=6120\Omega\), \(R_L=3120\Omega\), and \(R_2=580\Omega\). Assume \(V_T=0.025V\) and \(V_{DC}=15V\).
a. Calculate \(g_m\) in \(\frac{A}{V}\)
b. Calculate \(r_\pi\) in \(\Omega\)
c. Calculate the voltage gain \(A_V\) in \(\frac{V}{V}\)
Note: In this problem, you may only submit numerical answers accurate to 0.02% or better. (i.e. If 4 is the correct answer, 3.9999 will be marked as correct, but 2+2 will be marked as incorrect.)