Determining drift velocity of electrons at specific temperature

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SUMMARY

The discussion focuses on calculating the drift velocity of electrons in a gold conductor under an electric field of 0.01 V/m at temperatures of 20.0 degrees C and 50.0 degrees C. The relevant equation for resistance, R = ρ(L/A), is highlighted, where ρ is resistivity, L is length, and A is cross-sectional area. To find drift velocity, the relationship between current density, electric field, and drift velocity must be established. The user seeks guidance on connecting these concepts to derive the drift velocity.

PREREQUISITES
  • Understanding of Ohm's Law and its application in electrical circuits
  • Familiarity with the concept of drift velocity in conductors
  • Knowledge of the resistivity of gold at various temperatures
  • Basic geometry to calculate the cross-sectional area of a cylinder
NEXT STEPS
  • Research the formula for drift velocity: v_d = I/(nqA), where I is current, n is charge carrier density, q is charge, and A is cross-sectional area.
  • Study the temperature dependence of resistivity for gold conductors.
  • Learn how to calculate the cross-sectional area of a cylindrical conductor.
  • Explore the relationship between electric field strength and current density in conductive materials.
USEFUL FOR

Students studying physics, electrical engineering majors, and anyone interested in understanding electron behavior in conductive materials under varying temperatures.

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Homework Statement


A gold conductor with an electric field of 0.01 V/m applied, is 0.01 m long and 5.0E-5m in radius. Assuming one conduction electron per atom, what is the drift velocity of the electrons at a temperature of 20.0 degrees C? at 50 degrees C?


Homework Equations


I know that R=rho(L/A), but I have no idea where to go from here. If someone could give me an idea how to connect the length and area to drift velocity I would appreciate it.
 
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The Attempt at a SolutionI have not attempted to solve this problem because I do not know how to start.
 

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