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For an NMOS device operating in saturation, plot W/L versus VGSVTH if , a. Id is constant b. gm is constant.
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Solution:

gn=δI0δVGs|Vosconstantgm=μncoswL(VGSVrH)(1) also gm=2lncosW/L Id gm=2ID(VGSVΓH)...(2)

From (1) & (2)

μncosωL(VGSVTH)=2IDVGSSViH(VGSVTH)2=2IDμncosWLWL=2IDμnCos(VGsV/H)2...(a)

From (1)

WL=9mln(0x(VGSVrH) (B) 

a) When ID is constant,

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b) Whengm is constant,

enter image description here

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