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The slope the versus curve the point

218 C H A P T E R

F O U R

o f n o n l i n e a r
iD
FIGURE 4.38 Graphical iD

point VD, ID
given by

ID
vTH
interpretation of operating point

and incremental signals.

third term 1 1

�v.

(4.66)
second term

=

VTH

The relationship in Equation 4.67 is itself derived from the Taylor series �iD = dvD����VD �vD (4.67) df

expansion as follows. Recalling Equation 4.55,

i f (v) f (V) df
(v V)1 d2f
D =D =D + dvD ���VD
dv2 D ����VD

DD+ · · ·

(4.68)
4.5 Incremental Analysis

C H A P T E R

219

enough that we can ignore second order terms in �vD we get

In words, the incremental change in the current is equal to df/dvD evaluated �iD = dvD����VD �vD. (4.71) df

.

of iD for the given form of vD. We are given that the input is of the form

iD = ID + �iD.

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the slope the versus curve the point
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