3.4. Derivation of the Linear-Region Current – Voltage Relation

The voltage along the channel is defined as Vc(x) (Fig. 3.5), with the range 0 at x = 0 (source) to Vc(L) = VD (drain). The device is in the linear-region mode, that is, VD < Veffn. The charge in the channel at x is

Equation 3.20

where the charge at the source is Qchan = Cox(VGS – Vtno), as in the case of (3.2).

Figure 3.5. Diagrammatic NMOS transistor biased into the linear region.

A generalization of (3.2) for the incremental conductance, dGchan(x), at x over a length dx ...

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