Suppose you wish to fabricate a uniform wire out of 2.65 g of copper. If the wir

Question

Suppose you wish to fabricate a uniform wire out of 2.65 g of copper. If the wire is to have a resistance of R = 0.350 and if all of the copper is to be used, what must be a) the lengthen of this wire b) the diameter of this wire Suppose you wish to fabricate a uniform wire out of 2.65 g of copper. If the wire is to have a resistance of R = 0.350 and if all of the copper is to be used, what must be a) the lengthen of this wire b) the diameter of this wire Suppose you wish to fabricate a uniform wire out of 2.65 g of copper. If the wire is to have a resistance of R = 0.350 and if all of the copper is to be used, what must be a) the lengthen of this wire b) the diameter of this wire

Explanation / Answer

Ans

density of copper is = 8.94 grams/cm³ and its resistivity = 16.78 * 10^(-9) ohm·m ; m= 2.65*10^-3 kg and R=0.350 ohm

V = m/ => AL = m/ => A = m/(L)

R = L/A => R = L²/m

0.350 = 16.78 * 10^(-9) L²(8.94 * 1000)/(2.65*10^-3)

by solving L=2.486 m

(B)

AL = m/

(¼ d²)L = m/

(¼ d²)(2.486) = (2.65 * 10^(-3))/(8.94 * 1000) solving we get

d=3.896*10^-4 m

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