Does Ohm's law hold true for materials with zero resistance?

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SUMMARY

Ohm's law does not hold true for materials with zero resistance, as demonstrated in the discussion regarding ideal conductors. When a potential difference is applied to a zero-resistance material, the current theoretically approaches infinity. However, real-world conditions, such as collisions between charged particles and ions, prevent this from occurring. The concept of terminal velocity in charged particles is crucial, as it indicates that even in ideal scenarios, practical limitations exist.

PREREQUISITES
  • Understanding of Ohm's Law and its mathematical implications
  • Familiarity with the behavior of charged particles in electric fields
  • Knowledge of electrical resistance and its physical causes
  • Concept of terminal velocity in the context of particle dynamics
NEXT STEPS
  • Research the properties of superconductors and their implications on resistance
  • Explore the concept of terminal velocity in charged particles in more detail
  • Study the effects of collisions in conductive materials on current flow
  • Investigate advanced materials that approach zero resistance, such as graphene
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism or materials science will benefit from this discussion, particularly those interested in the behavior of conductors and the limitations of theoretical physics.

Sefrez
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Hopefully this is a simple question.

When a potential difference is applied, do charged particles begin to accelerate and then reach a terminal speed due to resistance where resistance would have to be proportional to that speed? In other words, if there was this magical material with zero resistance and a magical supplier, would i → ∞ as the equation shows?
 
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The charged particles begin to accelerate when they feel electric field, but reach terminal velocity very soon because of collisions with the ions of the conductor and with each other.

In case of a piece of zero-resistance metal and ideal voltage supply, the current will be infinity. But nothing is perfect :tongue2

ehild
 
Ok, that is what I figured. Thanks. :)
 

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