Folding structure - Mos Transistor

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MahmoudHassan

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the attached picture form book Design of Analog Integrated circuit page 35
How can the shown folding structure reduces the gate resistance by factor of 4 .... i think it reduces it by factor 2 only ?

as it is written above this picture " We note that Folding reduces the gate resistance by a factor of four "


 



1st Case Resistors are in serires so effective R = R+R+R+R = 4R
2nd Case two pair resistors are in series which is in parallel to each-other so effective R = 2R parallel to 2R => 2Rx2R/(2R+2R) = 4RXR/4R =R

so it is reduced by a factor of 4 .
 
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