How does my book come to this conclusion?

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The discussion centers on understanding how to derive the W/L ratio of 2 for an inverter design in a Digital Electronics course. The user seeks clarification on how to arrive at this value using the provided specifications and equations. They mention that Ohm's law indicates RDS can be calculated using VGS and ID, leading to the conclusion that W/L equals 2. The user confirms agreement with the book's answer but is looking for a clearer explanation of the steps involved. Overall, the focus is on grasping the calculations necessary to understand the inverter's design specifications.
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I'm starting my Digital Electronics course and I'm having trouble understanding how this example from my book gets to it's conclusion.

It's about designing an inverter with certain specifications, but how do I find the value of W/L? How do I get the 2 that the answer says?

Here are the pictures of the exercise and another picture with formulas that may or may not be relevant.

Picture of inverter:
http://i1226.photobucket.com/albums/ee410/jean28x/image2_zps9e7f8724.png
Exercise, part 1
http://i1226.photobucket.com/albums/ee410/jean28x/image_zps136b69f7.png

Exercise, part 2 (answers):
http://i1226.photobucket.com/albums/ee410/jean28x/image_1_zps32b9a8ee.png

Relevant equations (?):
http://i1226.photobucket.com/albums/ee410/jean28x/image_2_zpse3d8245e.png


Thank you all very much. I'd just like to understand how the book got to the answers:

W/L = 2
R = 48 kohm
power = 125 microWatts
 
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When the FET is conducting they want VGS to be 0.1 and ID to be 50 * 10-6. Ohms law says RDS=VGS/ID.
Rearrange the equation they give to get W/L. I agree with their answer 2.
 
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