7.4 FIELD-EFFECT TRANSISTORS 377
iD = 0
S
+
−
G
vGS ≤ −VP
n+
n+ p
n+
n+ p
(b)
D
Depletion
regions
S
G
vGS < 0
n+
n
n+
p
d
(a)
vDS > vGS + VP
iD
S
G
vGS > −VP
vGD < −VP
(c)
d
DD
Figure 7.4.11Internal physical picture inn-channel depletion MOSFET.(a)Formation of depletion regions.
(b)Cutoff condition.(c)Active state.
Cut off vGS ≤ −VP
−VP
IDSS
25
20
Drain current
iD
, mA
15
10
(a) (b)
25
Ohmic
region
Active region
1 V
−1 V
−2 V
0 V
vDS < vGS + VP vDS^ ≥^ vGS + VP
vGS = +2 V
vGS > −VP
20
Drain current
iD
, mA
15
10
5
− 2 02
Gate-to-source voltage vGS, V
− 4064
Drain-to-source voltage vDS, V
281210
5
Figure 7.4.12Characteristics ofn-channel depletion MOSFET.(a)Transfer characteristic.(b)Static
characteristics.
iD=IDSS
(
1 +
vGS
VP
) 2 (
1 +
vDS
VA
)
(7.4.12)
whereVAandIDSSare positive constants, and the factor( 1 +vDS/VA)is added to account
approximately for the nonzero slope of theiD–vDScurves of a practical device, as was done in
Equation (7.4.2). The small-signal equivalent circuit for low frequencies is of the same form as
Figure 7.4.4 for a JFET.
EXAMPLE 7.4.3
Ann-channel depletion MOSFET, for whichIDSS=7mAandVP=4 V, is said to be operating
in the ohmic region with drain currentiD=1 mA whenvDS= 0 .8 V. Neglecting the effect of
vDSoniD, findvGSand check to make sure the operation is in the ohmic region.