As part of a class project you are given 0.900 g of copper and asked to fabricate a wire with uniform cross-section, You use up 95% of the copper and make a wire with a resistance of 0.803 N. The resistivity of copper is 1.72 x 108 2. mand its density is 8.92 x 10 kg/m. (a) What length of wire do you end up with? (b) What is the diameter of the wire? mm

As part of a class project you are given 0.900 g of copper and asked to fabricate a wire with uniform cross-section, You use up 95% of the copper and make a wire with a resistance of 0.803 N. The resistivity of copper is 1.72 x 108 2. mand its density is 8.92 x 10 kg/m. (a) What length of wire do you end up with? (b) What is the diameter of the wire? mm

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Question

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As part of a class project you are given 0.900 g of copper and asked to fabricate a wire with uniform cross-section. You use up 95% of the copper and make a wire with a resistance of 0.803 N. The
resistivity of copper is 1.72 x 10 80. m and its density is 8.92 x 10³ kg/m3.
(a) What length of wire do you end up with?
(b) What is the diameter of the wire?
mm

Expert Solution

Step 1

Given,

Mass, $m = 0.9 g$

Resistance, $R = 0.803 Ω$

Resistivity, $ρ = 1.72 \times 10^{- 8} Ω m$

Density, $d = 8.92 \times 10^{3} k g / m^{3}$

Used copper mass,

$M = 95 % o f m M = \frac{95}{100} \times 0.9 M = 0.855 g M = 0.855 \times 10^{- 3} k g$

Let the l is the length of the with radius r.

Volume, $V = A . l V = {πr}^{2} l$

Mass, $M = d \times V M = d \times {πr}^{2} l$

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