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Q1 For the NMOS transistors in the circuit below, all transistors have kn = 2mA/

ID: 1810895 • Letter: Q

Question

Q1

For the NMOS transistors in the circuit below, all transistors have kn = 2mA/V4, Vt = 0.7V, W = 9um. L = 2 mun and Q1 and Q2 have r0 rightarrow infinity and Q3 and Q4 have |VA| = 100V.. What is the function of Q1 and Q2? Determine the value of R required to give a drain current in Q2 of 1mA. Using the Hybrid-pi model in the small-signal circuit, calculate the small-signal output resistance Rout seen from the junction "a", connecting the emitter circuits of Q1 and Q2. Use the Hybrid-pi model to draw the small signal equivalent half-circuits for both the differential mode and common-mode inputs.

Explanation / Answer

1. Q3 and Q4 are parts of current mirrors. They help in attaing a constant current source , as Iee = i_Ref.

i_ee = i_Ref = 1mA

R = (12 - 0.7 )/1 =11.3 K ohm.


2. Rout = Ro of Q4= Va / Ic =200 / 1 = 200Kohm.

Ic= I/2 = 0.5mA. (equal inq3,q4)

3.gm = Ic/Vt = 0.5/0.025 = 20.

Differential Gain = -gmRc = -40.

Common mode gain = -Rc/2Ro =-1/200