Q$2($Total $40\%)$ In the circuit below, $V_{CC}=10V,R_L=2k,R_E=1k,$ and $R_1=200k.$

This BJT in the emitter$-$follower amplifier has $=99,V_{BE}=0\mathrm{.}7V.$

$($a$)(6\%)$ Draw DC equivalent circuit for DC analysis of the given circuit.

$($b$)(24\%)$ Find $V_C,V_E,V_B,I_B,I_E$ and $I_C$ in the $DC$ equivalent circuit.

$($c$)(10\%)$ Calculate the small$-$signal parameters of the transistor, $g_m$ and $r_{}.$