About VT(threshold voltage) of MOS

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The relationship between threshold voltage (VT) and channel length is influenced by the short channel effect, which can be further explored through online resources. To understand the formula for VT, particularly the term Vox=Q(inv)/Cox, it's important to note that Cox represents the capacitance per unit area, which allows for the calculation of voltage based on charge density. Modifying the units of Cox according to charge density ensures the output is in volts. This discussion highlights the significance of channel dimensions and capacitance in determining VT. Understanding these concepts is crucial for analyzing MOSFET behavior.
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Homework Statement



(1)what's the relationship between VT and channel length, width?
(2)In the formula of VT, when calculation of oxide capacitor voltage, namely, Vox=Q(inv)/Cox
, why Cox is per square capacitance?

Homework Equations



eq6_3_17.gif


3. Thank you very much!
 

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1)-The relationship between Vt and the channel length is called short channel effect. If you search on the web you can find enough information. The third term in your equation needs a modification to see the relation between Vt and L.
2)- Cox's units can be modified depend on the units of the charges density. The aim is to get volts out of the devision.
 

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