Consider a common-emitter amplifier circuit with the following parameter values (see Figure 10.7):
$$
V_{C C}=10 \mathrm{~V}, R_1=3000 \Omega, R_2=3000 \Omega, R_S=50 \Omega,
$$
$R_C=R_E=100 \Omega, R_L=150 \Omega, \beta=100$.
a. Find the operating point of the transistor.
b. Draw the AC equivalent circuit of the amplifier.
c. If $h_{o c}=10^{-5} \mathrm{~S}$ and $h_{f e}=\beta$, determine the voltage gain as defined by $v_{\text {out }} / v_{\text {in }}$.
d. Find the input resistance, $r_i$.
e. Find the output resistance, $r_o$.