A gold wire with a circular cross-section has a mass of 1.30 g and a resistance of 0.770 Ω. At 20°C, the resistivity of gold is 2.44 ✕ 10−8 Ω · m and its density is 19,300 kg/m3. How long (in m) is the wire? m What is the diameter (in mm) of the wire? mm

A gold wire with a circular cross-section has a mass of 1.30 g and a resistance of 0.770 Ω. At 20°C, the resistivity of gold is 2.44 ✕ 10−8 Ω · m and its density is 19,300 kg/m3. How long (in m) is the wire? m What is the diameter (in mm) of the wire? mm

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter9: Current And Resistance

Section: Chapter Questions

Problem 70AP: A 10.00-meter long wire cable that is made of copper has a resistance of 0.051 ohms, (a) What is the...

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Concept explainers

Resistivity

Resistivity is a characteristic property of the conductor’s material that measures the extent to which the material opposes the flow of current. It is denoted by the Greek letter “rho”. Electrical resistivity, also known as specific resistance, depends on the nature of the material of the conductor and is unaffected by its dimensions.

Question

A gold wire with a circular cross-section has a mass of 1.30 g and a resistance of 0.770 Ω. At 20°C, the resistivity of gold is 2.44 ✕ 10⁻⁸ Ω · m and its density is 19,300 kg/m³.

How long (in m) is the wire?

What is the diameter (in mm) of the wire?

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