Deriving Units for Current Density - J=I/A Length

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Homework Help Overview

The discussion revolves around deriving the units for current density, specifically the expression J = I/A, where participants are exploring the correct dimensional analysis to arrive at A/m² instead of A*m.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify the units of current (I) and area (A), with some questioning how the incorrect unit A*m was derived. There is also a focus on distinguishing between the unit of Amperes and the symbol for area.

Discussion Status

The discussion is active, with participants providing insights into unit definitions and addressing algebraic errors. There is acknowledgment of misunderstandings, but no consensus has been reached on the derivation process itself.

Contextual Notes

Participants are navigating potential confusion between symbols and units, particularly with the letter A representing both Amperes and area. This distinction is critical to the discussion.

AGGENGR
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Just trying to derive the units for current density but i keep getting A*m rather than A/m^2.

J = I/A

A length derivation would help.
 
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What are the units of I and A? ...
 
Units of A: C/S
Units of I: A
 
How do you get A*m? Where does that come from?

Be careful with the letter A here, it can represent Amperes (as unit) and an area (as symbol).
 
Ok i actually see what i was doing wrong. Just a bad algebra error. Thanks!
 

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