Current Density and Electron Drift Speed

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Homework Help Overview

The discussion revolves around calculating the current density and electron drift speed in a square aluminum wire given a specific current. The problem involves understanding the relationship between current, area, and the resulting calculations in appropriate units.

Discussion Character

  • Conceptual clarification, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss the calculation of current density using the formula J = I/A and question the unit conversion between MA/m² and mA/m². There is confusion regarding the correct interpretation of the units and the resulting numerical values.

Discussion Status

Several participants are engaged in clarifying the unit requirements and confirming calculations. There is a recognition of potential misunderstandings regarding the magnitude of the units, but no explicit consensus has been reached on the correct answer.

Contextual Notes

Participants note the importance of unit distinctions, particularly between MA and mA, and express frustration over how such details can lead to difficulties in solving the problem.

amb0027
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Homework Statement


The current in a 1.5 mm X 1.5 mm square aluminum wire is 1.10 A. What are (a) the current density and (b) the electron drift speed?


Homework Equations


current density: J = I/A
drift speed Vd = J/ne


The Attempt at a Solution


It's asking for an answer in MA/m^2.. when I divide I(1.1) by A(2.25 x 10^-6) I get 488,888.889. I tried the answer 489 and 488 and it says it's incorrect. Also tried 488,889 just to make sure.. still incorrect. Any help would be appreciated?
 
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amb0027 said:

Homework Statement


The current in a 1.5 mm X 1.5 mm square aluminum wire is 1.10 A. What are (a) the current density and (b) the electron drift speed?


Homework Equations


current density: J = I/A
drift speed Vd = J/ne


The Attempt at a Solution


It's asking for an answer in MA/m^2.. when I divide I(1.1) by A(2.25 x 10^-6) I get 488,888.889. I tried the answer 489 and 488 and it says it's incorrect. Also tried 488,889 just to make sure.. still incorrect. Any help would be appreciated?

Welcome to the PF.

When you say you "tried 488,889", you mean 488.889, right? Your answer looks correct to me.
 
If the answer should be in mA/m2, then use 1.10 A + 1.10×103 mA.

That would make your answer something like: 4.89×108 mA/m2.
 
Thanks for your replies. But it says MA/m^2, not mA/m^2. and the answer I've shared here does not work.. any other suggestions?
 
0.489 MA/m2
 
so M is 10^6? ooh yea.. thanks!
 
Ironic how a small thing like M vs. m can cause such a difficulty.
 
SammyS said:
Ironic how a small thing like M vs. m can cause such a difficulty.

Here are the difficulties of Physics

- Units
- Signs
- Wording of the question
- Conventions
 

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