EE2102 Analog Electronics
Tutorial 7
Assoc Prof See Kye Yak
Office: S2-B2C-112
email: ekysee@ntu.edu.sg
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MOSFET Operating Modes
Operating Mode NMOS PMOS
VT +ve -ve
Cut-off VGS < VT VGS > VT or |VGS | < |VT |
ID = 0 ID = 0
Ohmic VGS > VT VGS < VT or |VGS | > |VT |
VDS < VGS VT VDS > VGS VT or |VDS | < |VGS VT|
ID = Kn (VGS VT ‒ )VDS ID = Kp (|VGS | |VT | ‒ | |) |VDS |
Saturation VGS > VT VGS < VT or |VGS | > |VT |
VDS > VGS VT VDS < VGS VT or |VDS | > |VGS VT|
ID = (VGS VT)2 ID = (|VGS | |VT |)2
2
Q1: Check the region of operation for the following circuits. Determine the
operating point if it is in saturation. Assume , and Kn = 0.5
mA/V-1 for NMOS and and Kp = 250 A/V-1 for PMOS.
+15 V
1 k
+
4V
1.6 k
1 M
3 k
15 V
(a) (b)
3
(a) Apply KVL
VDD
RD
IG 0, =0
RG
RS
Assume the NMOS is in saturation mode:
VSS
4
Substituting (1) into (2):
+21.78=0
5
If 6.35 mA:
VDD
RD
RG
RS
It contradicts the assumption of saturation mode.
VSS
6
If mA:
VDD
RD
RG
RS
It confirms the assumption of saturation mode.
VSS
The DC operating point is )
7
(b) VSS
It confirms PMOS is not in cut-off.
Assume PMOS is in saturation:
RD
𝐺𝑆 𝑇𝑃
𝐷𝑆
𝐷𝑆 𝐺𝑆
It confirms PMOS is not in saturation. 8
(b) VSS
The PMOS must be in Ohmic mode.
𝐺𝑆
-------- (1)
RD
𝐷𝑆 ----- (2)
Substitute (2) into (1):
𝐷𝑆
V
9
Q2:Draw the DC equivalent circuit for the common drain amplifier of Figure 2.
Assume that the capacitors have infinite value, , ,
, , , , and .
calculate the DC operating point of the amplifier.
Figure 2 10
DC analysis
12
13