Why we write W/L = 50/0.5 not W/L = 100?

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Homework Help Overview

The discussion revolves around the representation of transistor dimensions in MOS transistors, specifically the width-to-length ratio (W/L) expressed in different formats such as W/L = 50/0.5 versus W/L = 100. Participants are exploring the implications of these representations and their significance in understanding transistor characteristics.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning why W/L is expressed in a fraction format rather than a single numerical value. There is also curiosity about the differences in performance characteristics between devices with varying W/L ratios, particularly in relation to actual physical dimensions and their effects on current and capacitance.

Discussion Status

Some participants have provided insights regarding the physical dimensions of transistors and their implications on performance, noting that while certain ratios may yield similar current values, other factors such as capacitance and short channel effects complicate the comparison. Multiple interpretations of the W/L representation are being explored.

Contextual Notes

There is an ongoing discussion about the accuracy of textbook representations of W/L values in relation to real-world MOSFETs, suggesting that the values given in problems may not directly correspond to practical applications.

anhnha
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Hi,
I want to ask a question.
In MOS transistors, the sizes of transistors often are given in the form:
W/L = 50/0.5 or W/L = 10/0.5
I think there are implies behind the writing. If not why they don't just write W/L = 100 or W/L = 20
And can you explain the difference between the two:
W/L = 100/0.5 and W/L = 200/1
Thanks.
 
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I would expect that these values are the actual sizes (in ??) of width and length.
 
As mfb says, these numbers are the actual width and length of the transistors, almost certainly in microns. So a 100/0.5 device is 100 microns wide and 0.5 microns long. It matters, because while to first order the current through a device with W = 100 and L = 0.5 is the same as a device with W = 200 and L = 1.0, the capacitance of the 200/1.0 device is 4X the capacitance of the 100/0.5 device. Also, because of short channel effects, even the currents through tehse devices will not be the same.
 
Some textbooks will give you the W/L value as 100 or 200 or whatever for the sake of simplicity, W/L is the width to length ratio and thus is expressed in the actual width and length values. The numbers you are getting in problems would not correspond exactly to real life MOSFETS.
 

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