Finding length and diameter of wire

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SUMMARY

The discussion focuses on calculating the length and diameter of a uniform wire made from 1.0 gram of copper, given a resistance of 0.5 ohms. The density of copper is specified as 8.93 x 103 kg/m3, and the resistivity of copper is required for the calculations. Using the formula for resistance, R = ρ(L/A), where ρ is the resistivity, L is the length, and A is the cross-sectional area, participants derive the necessary dimensions of the wire based on these parameters.

PREREQUISITES
  • Understanding of electrical resistance and Ohm's Law
  • Familiarity with the concept of resistivity
  • Knowledge of geometric formulas for calculating area and volume
  • Basic skills in unit conversion and dimensional analysis
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  • Learn how to calculate the cross-sectional area of a wire
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Students in physics or engineering, electrical engineers, and anyone involved in materials science or wire fabrication processes.

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Suppose you wish to fabricate a uniform wire out of 1.0 g of copper (Density of copper is 8.93 x 10^3 kg/m^3). If the wire is to have a resistance of R = .5 ohms, and all the copper is to be used, what will

a) the length and
b) the diameter of this wire?




R = .5
a weight of 1.0 grams. how am i suppoise to find length and diameter (im assuming cross sectional) of the wire with only given these 3 variables??
 
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You'll probably also need to look up the resistivity of copper
 

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