A gold wire carries 22 A of current with a drift velocity of 4.3 × 10-3 m/s. Assume there is one free electron per gold atom, and the density of gold is 1.93 × 104 kg/m3. The molecular weight of gold is 196.97 g/mol.    Part (a)  What is the diameter of this gold wire?  d  =    m    Part (b)  For the problem above, calculate the resistance of the wire under those conditions. Assume the wire is 3.7 m in length, and the resistivity of gold is 2.44 × 10-8 Ω⋅m.  R =    Ω  Part (c)  How much power is dissipated by this wire?  P=    W

Principles of Physics: A Calculus-Based Text
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Author:Raymond A. Serway, John W. Jewett
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Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 63P
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A gold wire carries 22 A of current with a drift velocity of 4.3 × 10-3 m/s. Assume there is one free electron per gold atom, and the density of gold is 1.93 × 104 kg/m3. The molecular weight of gold is 196.97 g/mol.

   Part (a)  What is the diameter of this gold wire? 
d  =    m

 

 Part (b)  For the problem above, calculate the resistance of the wire under those conditions. Assume the wire is 3.7 m in length, and the resistivity of gold is 2.44 × 10-8 Ω⋅m. 
R =    Ω
 Part (c)  How much power is dissipated by this wire? 
P=    W
 Part (d)  If the wire is heated by an additional 188 K (compared to part (a)), what is the new resistance at this increased temperature? The temperature coefficient of resistivity for gold is 3.4 × 10-3 °C-1 
R =    Ω

 

 Part (e)  Under the conditions in part (d), what is the value of the potential for the wire? 
V =    V
 Part (f)  Under the conditions in part (d), how many electrons pass through the wire in 57 s? 
n =    electrons
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