(a) Explanation Given info: The length of copper wire is 34.5 m and the temperature is 20.0 ° C and the radius of wire is 0.25 mm and the potential difference is 9.00 V . Write the expression for resistance. R = ρ L A (1) Here, ρ 0 is the resistivity of wire. A is the cross-sectional area of the wire. L is the length of wire. Write the expression for cross-sectional area. A = π r 2 Here, r is the radius of wire. Substitute π r 2 for A in equation (1). R = ρ L π r 2 (2) The resistivity of the copper wire is 1.7 × 10 − 8 Ω ⋅ m . Substitute 34.5 m for L , 0.25 mm for r and 1.7 × 10 − 8 Ω ⋅ m for ρ in equation (2). R = ( 1 (b) To determine The resulting current at 30.0 ° C .

Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)

9th Edition

ISBN: 9781305116429

Author: Raymond A. Serway, John W. Jewett

Publisher: Cengage Learning

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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 o…

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Chapter 27, Problem 27.31P

(a)

To determine

The current in the wire.

(b)

To determine

The resulting current at 30.0 °C .

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Chapter 27, Problem 27.30P

Chapter 27, Problem 27.32P

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Chapter 27 Solutions

Physics for Scientists and Engineers, Technology Update, Hybrid Edition (with Enhanced WebAssign Multi-Term LOE Printed Access Card for Physics)

Ch. 27 - Consider positive and negative charges of equal...Ch. 27 - Prob. 27.2QQ Ch. 27 - Prob. 27.3QQ Ch. 27 - When does an incandescent lightbulb carry more...Ch. 27 - For the two lightbulbs shown in Figure 27.13, rank...Ch. 27 - Car batteries are often rated in ampere-hours....Ch. 27 - Prob. 27.2OQ Ch. 27 - A cylindrical metal wire at room temperature is...Ch. 27 - Prob. 27.4OQ Ch. 27 - A potential difference of 1.00 V is maintained...

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The current in the wire.

Solution Summary: The author explains that the current in the wire is 3.0A.

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The current in the wire.

The resulting current at 30.0 °C .

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Chapter 27 Solutions