Consider the current gain amplifier shown in given

Question

Consider the current gain amplifier shown in given figure.

The transistor parameters are K_n = K_p = 10 mA/V², V_{T N} = 1 V, V_{T P} = -1 V, and λ_n = λ_p = 0. The LED turn-on voltage is V_γ = 1.6 V. Assume the LED small-signal resistance is r_f = 0.

(a) Determine the quiescent currents I_DQ1 and I_DQ2.

(b) Show that the small-signal current gain is given by

(c) Calculate the value of A_i.