EC3021E: Analog MOS Integrated Circuits
Dhanaraj K. J.
Associate Professor
ECED, NIT Calicut
When
𝑉𝐷𝑆 = 𝑉𝐺𝑆 −𝑉𝑇
The charge control relation at drain is
QN (L ) = −Cox VGS − VDS − VT = 0
No inversion layer at the drain end of the
channel
Pinch off
ID does not increase much after pinch off
Operating Regions
MOSFET Bipolar Transistor
Quadratic Characteristic Exponential characteristic
Saturation; VDS>VGS-VT Active; VCB>0
Triode/Linear; VDS<VGS-VT Saturation; VCB<0
Zero gate current Finite base current
Drift current Diffusion current
n-channel MOSFET p-channel MOSFET
The MOSFETs that we discuss here are enhancement type
MOSFETs
4
n-channel MOSFET p-channel MOSFET
The MOSFETs that we discuss here are enhancement type
MOSFETs
5
Linear
region
W VDS2
nCox (VGS − VT )VDS − ; VGS VT , VDS VGS − VT
ID = L 2
nCox W (V − V )2 ; V V , V V − V
2 L GS T GS T DS GS T
Saturation
nCox = k '
n → Process transconductance parameter region
W
k'
n = kn → Device transconductance parameter
L
VDS2
k n (VGS − VT )VDS − ; VGS VT , VDS VGS − VT
ID = 2
k n (V − V )2 ; V V , V V − V
2 GS T GS T DS GS T
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A Silicon n-channel MOSFET has μn= 600 cm2 /V-sec, Cox= 1.2x10-7 F/cm2
, W=50μm, L=10 μm and VT= 0.8V. Find the drain current when i) VGS=2V
and VDS=1V ii) VGS=3V and VDS=5V
1) VGS>Vth, VDS<VGS-VT. Hence MOSFET is in linear/triode region
ID=μnCox(W/L)[(VGS-VT)VDS-VDS2/2]
=252μA
2) VGS>Vth, VDS>VGS-VT. Hence MOSFET is in saturation region
ID=μnCox(W/L)[(VGS-VT) 2/2]
=871.2μA
Q. Find Vx for the following circuit if kn=200A/V2. VT=1V
kn
T1→ saturation; I D1 = (5 − Vx − 1)2
2
Vx2
T2→ linear; I D2 = k n (5 − 1)Vx −
2
1 Vx2
(5 − Vx − 1) = (5 − 1)Vx −
2
2 2
Vx2 − 8Vx + 8 = 0
Vx = 1.17V
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1. Razavi B. Design of Analog CMOS Integrated Circuits, 2001. New
York, NY: McGraw-Hill. 2017;587(589):83-90
2. P. Allen & D. Holberg, CMOS Analog Circuit Design, 3rd Edition,
Oxford University Press, 2013
3. Streetman, B.G. and Banerjee, S., 2001. Solid state electronic
devices. Prentice-Hall of India.
4. Jan M Rabaey, Digital Integrated Circuits - A Design Perspective,
Prentice Hall, 2nd Edition, 2005
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EC3021E: Analog MOS Integrated Circuits, Monsoon Semester 2025-26 10