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

AI Thread Summary
Current density is defined as J = I/A, where I represents current in Amperes (A) and A denotes area in square meters (m²). The correct units for current density are Amperes per square meter (A/m²). A common mistake is confusing the letter 'A' as both Amperes and area, leading to incorrect unit derivations. Clarifying these definitions helps avoid algebraic errors in calculations. Understanding the distinction between units and symbols is crucial for accurate derivation of current density.
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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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