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Question:

whats the length & diameter of a 1.5kg bar of copper thats been drawn out having resistance of 250Ω 20degree?

The density of copper is 8900kg/m3

Answer:

Volume Mass/ density Volume 1.5kg/ 8900kg/m^3 Volume 1.68x10^-4 Volume Area *Length Area Volume/Length Resistivity Resistance* (Area/Length) Resistivity of Copper at 20C is 1.68x10^-8 Resistivity Resistance* ((Volume/Length)/Length) Resistivity Resistance* (Volume/Length^2) Solve above equation for Length Length 1581m Resistivity Resistance* (Area/Length) Solve above equation for Area Use A PI*(diameter/2)^2 to solve for diameter Diameter 3.67x10^-4 m
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250 1.7*10^-8*l/s where : l is in m s is in m^2 Vol s*l 1.5/8,900 0.000169 m^3 (1.69*10^-4 m^3) l 1.69*10^-4/s 250 1.7*10^-8*(1.69*10^-4/s)/s 250s^2 2.87*10^-12 s √(2.87*10^-12/250) 1.07*10^-7 m^2 (0.107 mm^2) Φ √4*s/PI √4*0.107/3.1416 0.369 mm l 1.69*10^-4/1.07*10^-7 1573 m just a final check R ρ*l/s 17*10^-3*1.573*10^3/0.107 26.74/0.107 250 ohm

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