ECEN302
Design and Analysis for Digital Circuits
Dr. Ahmed Madian
Sheet 1
Revision: MOS Transistors
(DC Analysis)
Prob.1: Find Vout for Vin = 1V, 4V, and 8V for the shown circuit, assuming VDD = 10V, VT= 2 V and K=0.5mA/V2 (Ans.
10 V, 5 V, 0.659 V)
VDD
R=5K
Vout
Vin M
Prob.2: Find the DC operating point (IDS,VDS, VGS and mode of operation) for the shown circuit assuming VDD = 10V,
VT= 1 V and K =1 mA/V2
(Ans. IDS=0.5mA, VDS=4.5V, VGS=2 V, Sat. mode) .
VDD
10M R=5K
10M
6K
Prob.3: Find the DC operating point (IDS,VDS, VGS and mode of operation) for the shown circuit assuming VDD = 10V,
VT= -1 V and K =1 mA/V2
(Ans. IDS=0.125mA, VDS=5.5V, VGS= - 0.5 V, Sat. mode).
VDD
32K
10M
4K
Prob.4: For the PMOS transistor shown, VT = -2 V, µ p cox = 8µA / V 2 and L =10um.
Find W of the transistor, and the value of R in order to establish a drain current of 0.1 mA and voltage Vout = 7 V
(Ans. W=250 um, R= 70K).
10V
Vout
R
Prob. 5: Design the circuit in Fig.1 to obtain a current of ID = 80 µA. Find the value required for R and find the
DC voltage VD. Let the NMOS transistor have VT =0.6V, µ n C ox = 200 µA / V 2 , L = 0.8 µm and W = 4 µm
(Ans. R= 25K, VD= 1V).
VDD = 3V
ID
R
VD
Fig.1
Prob.6: Consider the circuit of Fig.1 which is designed in Problem 4 (to which you should refer before solving
this problem). Let the voltage VD be applied to the gate of another transistor M2 as shown in Fig.2. Assume
that M2 is identical to M1. Find the drain current and mode of operation of M2.
VDD = 3V
(Ans. ID2 =80µA, Sat). VDD = 3V
20 Kohm
R
VD
M2
M1
Fig.2