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 (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

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 (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

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 28P: An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the...

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An aluminum wire 1.628 mm in diameter (14-gauge) carries a current of 3.00 amps, (a) What is the absolute value of the charge density in the wire? (b) What is the drift velocity of the electrons? (c) What would be the drift velocity if the same gauge copper were used instead of aluminum? The density of copper is 8.96 g/cm3 and thedensity of aluminum is 2.70 g/cm3. The molar mass ofaluminum is 26.98 g/mol and the molar mass of copper is 63.5 g/mol. Assume each atom of metal contributes one free electron.
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 =…
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