A gold wire carries 24.5 A of current with a drift velocity of 2.5 × 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 3.8 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 89 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 54 s? n = electrons

Given Current I = 24.5 A Drift velocity vd = 2.5 × 10-3 m/s Density =1.93 × 104 kg/m3 Mmolecular…

Answered: gold wire carries 24.5 A of current…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A gold wire carries 24.5 A of current with a drift velocity of 2.5 × 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 =

Part (b) For the problem above, calculate the resistance of the wire under those conditions. Assume the wire is 3.8 m in length, and the resistivity of gold is 2.44 × 10^-8 Ω⋅m.

R =

Part (c) How much power is dissipated by this wire?

Part (d) If the wire is heated by an additional 89 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 =

Part (e) Under the conditions in part (d), what is the value of the potential for the wire?

V =

Part (f) Under the conditions in part (d), how many electrons pass through the wire in 54 s?

n =

electrons

Expert Solution

Step 1

Given

Current I = 24.5 A

Drift velocity v_d= 2.5 × 10^-3m/s

Density =1.93 × 10⁴kg/m³

Mmolecular weight =196.97 g/mol

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