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

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SUMMARY

The discussion focuses on deriving the units for current density, represented as J = I/A, where J is current density, I is current in Amperes (A), and A is area in square meters (m²). The confusion arose from misinterpreting the area symbol A, leading to an incorrect unit of A*m instead of the correct A/m². The correct derivation confirms that current density is measured in Amperes per square meter (A/m²), clarifying the distinction between the unit of current and the area symbol.

PREREQUISITES
  • Understanding of electrical current and its unit, Amperes (A)
  • Basic knowledge of area measurement in square meters (m²)
  • Familiarity with dimensional analysis in physics
  • Algebraic manipulation skills for unit conversion
NEXT STEPS
  • Study the concept of current density in electromagnetism
  • Learn about dimensional analysis and its applications in physics
  • Explore the relationship between current (I), charge (C), and time (S)
  • Investigate common mistakes in unit conversions and how to avoid them
USEFUL FOR

Students in physics, electrical engineers, and anyone interested in understanding the principles of current density and unit derivation in electrical contexts.

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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