Calculating the Thickness of a Doped Silicon Strip with Given Current and Width

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Homework Help Overview

The problem involves calculating the thickness of a doped silicon strip based on given parameters such as current, width, conduction electron density, and drift speed. The subject area pertains to semiconductor physics and electrical properties of materials.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply the equation relating current, electron density, cross-sectional area, and drift velocity but expresses uncertainty about how to derive thickness from the width and area. Some participants question the definition of the area being referenced, while others clarify that it pertains to the cross-sectional area of the strip.

Discussion Status

The discussion is progressing with participants providing clarifications regarding the area in question. There is a suggestion that dividing the cross-sectional area by the width could lead to the thickness, indicating a potential direction for the original poster's inquiry.

Contextual Notes

Participants are navigating the relationship between the variables provided and the physical dimensions of the strip, with an emphasis on understanding the definitions and implications of the terms used in the equations.

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Homework Statement



A strip of doped silicon 270 µm wide contains 9.1E22 conduction electrons per cubic meter and an insignificant number of holes. When the strip carries a current of 110 µA, the drift speed of the electrons is 44 cm/s. What is the thickness of the strip?


Homework Equations



I=n*e*A*V

Where I is current, n is electrons per volume, A is cross sectional, v is drift velocity

The Attempt at a Solution



I've plugged into the equation above the variables given in the problem and solved for area. But how to find thickness, given the width? I think there's a missing link somewhere.
 
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Think about it: which area is that?
 
It's the surface area of the strip. I've thought about it. I have the width and the surface area but I cannot solve for thickness.
 
No it's the cross sectional area of the strip - does this help you find the thickness?
 
Yes, just divide that by the width. Thanks!
 

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