Factors on which conductivity depends

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SUMMARY

The conductivity of a material is fundamentally determined by four factors: Resistance (R), Area of cross-section (A), Length (L), and Resistivity (ρ). The relationship is expressed through the formula for Resistivity, ρ = AR/L, and the formula for Conductivity, σ = L/AR, indicating that conductivity is the reciprocal of resistivity. The discussion highlights that while resistivity is a key factor, resistance also plays a significant role in influencing conductivity, as higher resistance correlates with lower conduction. Therefore, both resistivity and resistance are critical in understanding the conductivity of materials.

PREREQUISITES
  • Understanding of electrical resistance and its implications
  • Familiarity with the concepts of area and length in physical contexts
  • Knowledge of resistivity and its mathematical representation
  • Basic grasp of electrical conductivity and its formulas
NEXT STEPS
  • Study the relationship between resistance and conductivity in various materials
  • Explore the implications of resistivity in different environmental conditions
  • Investigate practical applications of conductivity in engineering and materials science
  • Learn about the effects of temperature on resistivity and conductivity
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Students in physics or engineering, educators teaching electrical concepts, and professionals involved in materials science or electrical engineering will benefit from this discussion.

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Homework Statement



The conductivity of a material depends on a) Resistance(R) b) Area of cross section(A) c) Length(L)
d) Resistivity(ρ)

Homework Equations




The Attempt at a Solution


The formula for Resistivity is given by ρ = AR/L and Conductivity(σ) being the reciprocal of Resistivity, the formula is σ = L/AR.
So, i think the answer is d) Resistivity since that term is missing in the given equation of conductivity. Am i inferring correct?
But at the same time, i also think in this way,i.e., if there is more resistance there won't be much conduction and less resistance means more conduction. So Conductivity also depends on Resistance.
Please help in this regard
 
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I would think that the way resistivity is defined it only depends on the resistance of the material since as per definition of resitivity it is the resistance of 1 meter of the material with a uniform unit cross sectional area.
 

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