Nichrome and Copper Circuit w/ Electron Mobility

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SUMMARY

The discussion focuses on calculating the electric field in a circuit consisting of copper and Nichrome wires connected to a 1.5 V battery. The copper wires, with a radius of 0.009 m and length of 0.17 m, have an electron mobility of 4.4 x 10-3 (m/s)/(V/m) and a density of 8.4 x 1028 mobile electrons/m3. The Nichrome wire, with a radius of 0.003 m and length of 0.08 m, has an electron mobility of 7.0 x 10-5 (m/s)/(V/m) and a density of 9.0 x 1028 mobile electrons/m3. Participants concluded that calculating the resistance of each wire segment is essential for determining the current and potential drop across each wire, ultimately leading to the electric field calculations.

PREREQUISITES
  • Understanding of Ohm's Law (V = IR)
  • Familiarity with the concepts of resistivity and conductivity
  • Knowledge of electron mobility and its relation to conductivity
  • Ability to calculate the cross-sectional area of cylindrical wires
NEXT STEPS
  • Learn how to calculate the resistance of cylindrical wires using R = ρL/A
  • Investigate the relationship between electron mobility and conductivity using σ = n e μ
  • Explore Kirchhoff's voltage law for series circuits
  • Study the effects of wire length and cross-sectional area on resistance
USEFUL FOR

Students studying electrical engineering, physics enthusiasts, and anyone interested in understanding circuit analysis involving different materials like copper and Nichrome.

  • #31
gneill said:
What are the units associated with an electric field? It's not just Volts, which is just the unit of electric potential.

I'll give you a hint. One of the common ways of expressing the units of an electric field is N/C, that is, the force exerted per coulomb of charge. But another entirely equivalent way is V/m (you can massage the units to prove they're equivalent!). That's the change in potential over distance. You have calculated the change in potential that occurs over each wire segment, and you have the lengths of those wire segments...

Ah that makes sense! Thank you very much for your time and assistance!
 
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  • #32
Callix said:
Ah that makes sense! Thank you very much for your time and assistance!
You're very welcome.
 

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