Electric Field in a Wire (Concepts)

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SUMMARY

The electric field inside a wire is inversely proportional to the resistivity of the material and directly proportional to the current passing through the wire. This relationship is derived from Ohm's Law, specifically the equation J = σE, where J represents current density and σ is conductivity, the inverse of resistivity. Understanding these concepts is crucial for analyzing electric fields in conductive materials.

PREREQUISITES
  • Ohm's Law (V = IR)
  • Understanding of electric field concepts
  • Knowledge of resistivity and conductivity
  • Familiarity with current density (J)
NEXT STEPS
  • Study the relationship between resistivity and conductivity in various materials
  • Explore advanced applications of Ohm's Law in circuit analysis
  • Learn about electric field calculations in different geometries
  • Investigate the impact of temperature on resistivity and conductivity
USEFUL FOR

Students in physics, electrical engineering professionals, and anyone interested in understanding the behavior of electric fields in conductive materials.

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Homework Statement



A) [Directly proportional/Inversely proportional] The electric field inside the wire is ... to resistivity of the material the wire made of.

B) [Directly proportional/Inversely proportional] The electric field inside the wire is ... to the current passing through the wire.

Homework Equations


This is my problem, I can't seem to find any equations that relate electric field to the resistivity or current in the wire.

The Attempt at a Solution


My guess is that A is inversely proportional, and B is directly proportional but its just a guess.
 
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Ohm's Law comes in two forms. The form more common to intro physics is:

[tex]V=IR[/tex]

The other form is the following:

[tex]J=\sigma E[/tex] where J is the current density and sigma is the conductivity (inverse of resistivity).

Can you use these equations to answer the questions?
 
Thanks GO1! Thats exactly what i was looking for. I've got the answers now :)
 

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