Resistance governed by the speed of the electron?

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SUMMARY

The discussion centers on calculating resistance between two points on an infinite grid of resistors. It establishes that immediate nodes dictate simple resistances, while the challenge lies in determining the in-between resistances. As the grid extends to infinity, the in-between resistances approach zero, leading to the assertion that these resistances may depend on the speed of the electron. The concept of "drift velocity" is suggested as a relevant term for further exploration.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with resistor networks and their configurations
  • Knowledge of drift velocity in the context of electron movement
  • Basic principles of limits and convergence in mathematics
NEXT STEPS
  • Research "drift velocity" and its implications in electrical circuits
  • Study infinite resistor networks and their resistance calculations
  • Explore mathematical concepts of limits and convergence
  • Investigate advanced topics in circuit theory related to electron speed
USEFUL FOR

Physics students, electrical engineers, and anyone interested in advanced circuit theory and the behavior of resistors in infinite networks.

thankz
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a while ago someone posted a fun question

calculate the resistance from two points on a grid of resistors going into infinity, now I know the immediate nodes determine the simple resistances between two points but the hard part is calculating the in-between resistances but if the grid stretches out to infinity the in-between resistances should be zero converging to infinity, then shouldn't the in-between resistances then depend on the speed of the electron?

tell me if I'm on the right path.
 
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thankz said:
a while ago someone posted a fun question

calculate the resistance from two points on a grid of resistors going into infinity, now I know the immediate nodes determine the simple resistances between two points but the hard part is calculating the in-between resistances but if the grid stretches out to infinity the in-between resistances should be zero converging to infinity, then shouldn't the in-between resistances then depend on the speed of the electron?

tell me if I'm on the right path.
You might find it informative to Google "drift velocity".
 
Why is this in GD?

Zz.
 

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