How does my book come to this conclusion?

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In summary, the conversation revolves around understanding an example from a Digital Electronics course book. The example involves designing an inverter with certain specifications and the question is how to find the value of W/L. The answer says the value is 2, but the student is unsure how to arrive at this. Pictures of the exercise and relevant equations are provided, and the key to finding W/L is using Ohm's law and rearranging the given equation. The conversation ends with the student agreeing with the answer of 2.
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jean28
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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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  • #2
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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FAQ: How does my book come to this conclusion?

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