Calculating Number of Electrons in a Copper Wire | Electric Field HW Help

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SUMMARY

The discussion focuses on calculating the number of electrons in a copper wire measuring 90 cm in length and 1.00 mm in diameter, with a mass of 6.35 g. Given that copper has an atomic number of 29 and an atomic mass of 63.5, the number of atoms in the wire can be determined by dividing the mass of the wire by the atomic mass. Since there is one free electron per copper atom, the total number of free electrons in the wire equals the number of atoms calculated from the mass and atomic mass.

PREREQUISITES
  • Understanding of atomic structure, specifically atomic mass and atomic number
  • Basic knowledge of unit conversions in physics
  • Familiarity with the concept of free electrons in conductive materials
  • Proficiency in using formulas related to mass and atomic calculations
NEXT STEPS
  • Calculate the number of atoms in a copper wire using the formula: number of atoms = mass of wire / atomic mass
  • Learn about the properties of conductors and the role of free electrons in electrical conductivity
  • Explore the relationship between atomic structure and electrical properties in metals
  • Investigate the implications of electron density in various conductive materials
USEFUL FOR

This discussion is beneficial for physics students, electrical engineering students, and anyone interested in understanding the electrical properties of materials, specifically in relation to copper wiring.

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Homework Statement


A copper wire 90 cm long a 1.00 mm in diameter has a mass of 6.35g.

A) Find the number of electrons in the wire. (Copper has an atomic number of 29; that is there are 29 protons in the copper atom. Copper's atomic mass is 63.5)

B) There is one free electron per atom in copper. Find the number of free electrons in the wire.


Homework Equations



I'm not sure... but these might be helpful. mass of electron= 9.11x10^-31kg.F=k(q x q/r^2)

The Attempt at a Solution



I tried plugging into this equation but it does not work.
 
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atomic mass is related to the kilograms. you have the mass of the wire, so using this find the no of atoms in the wire . no of atoms in the wire is mass of wire over atomic mass.
careful about the units
 

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