How does my book come to this conclusion?

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SUMMARY

The discussion centers on calculating the width-to-length ratio (W/L) for an inverter design in a Digital Electronics course. The correct value of W/L is established as 2, based on the specifications provided in the exercise. Key parameters include a resistance (R) of 48 kΩ and a power consumption of 125 µW when the FET is conducting, with VGS set to 0.1 V and ID at 50 µA. The calculation utilizes Ohm's Law to derive W/L from the given equations.

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  • Familiarity with MOSFET operation and parameters
  • Knowledge of Ohm's Law and its applications
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Students in Digital Electronics courses, electrical engineering majors, and anyone involved in designing or analyzing inverter circuits.

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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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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