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Question

Consider the circuit shown in the figure below:



If (WL)1=1.75 and (WL)3=27.8, then the value of (WL)2=____. (Assume μnCox=86 μA/V2 and VTN=1V for all the transistors)

  1. 6.83

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Solution

The correct option is A 6.83
All the transistors are in saturation region, thus
ID=μnCox2(WL)3(VGS3VTN)2
=362×106×(27.8)×(21)2
ID=0.5mA
Now, since all the transistors are connected in series, thus
ID=μnCox2(WL)1(VGS1VT)2
0.5×103=36×1062(1.75)(VGS1VT)2
0.5 mA=36×1062(1.75)[10Vx1]2
Vx=5.01V
ID=μnCox2(WL)2(VGS2VT)2
0.5×103=36×1062(WL)2(Vx21)2
(WL)2=6.83

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