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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.
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