A gold wire carries 15.6 A of current with a drift velocity of 3.7 × 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? Part (b) For the problem above, determine the resistance of the wire under those conditions. Assume the wire is 4.2 m in length, and the resistivity of gold is 2.44 × 10-8 Ω⋅m. Part (c) How much power is dissipated by this wire? (In watts)

A gold wire carries 15.6 A of current with a drift velocity of 3.7 × 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? Part (b) For the problem above, determine the resistance of the wire under those conditions. Assume the wire is 4.2 m in length, and the resistivity of gold is 2.44 × 10-8 Ω⋅m. Part (c) How much power is dissipated by this wire? (In watts)

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Question

A gold wire carries 15.6 A of current with a drift velocity of 3.7 × 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?

Part (b) For the problem above, determine the resistance of the wire under those conditions. Assume the wire is 4.2 m in length, and the resistivity of gold is 2.44 × 10^-8 Ω⋅m.

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

Part (d) If the wire is heated by an additional 189 K (compared to part (a)), what is the new resistance at this raised temperature? The temperature coefficient of resistivity for gold is 3.4 × 10^-3 °C^-1

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

Part (f) Under the conditions in part (d), how many electrons pass through the wire in 11 s?

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