An aluminum wire with a diameter of 0.090 mm has a uniform electric field of 0.270 V/m imposed along its entire length. The temperature of the wire is 40.0° C. Assume one free electron per atom. (a) Use the information in this Table of Resistivities and Temperature Coefficients Fil to determine the resistivity of aluminum at this temperature. (b) What is the current density in the wire? (c) What is the total current in the wire? (d) What is the drift speed of the conduction electrons? (e) What potential difference must exist between the ends of a 2.40-m length of the wire to produce the stated electric field?

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### Problem Statement

An aluminum wire with a diameter of **0.090 mm** has a uniform electric field of **0.270 V/m** imposed along its entire length. The temperature of the wire is **40.0° C**. Assume one free electron per atom.

#### Questions:

(a) Use the information in this [Table of Resistivities and Temperature Coefficients](#) to determine the resistivity of aluminum at this temperature.

(b) What is the current density in the wire?

(c) What is the total current in the wire?

(d) What is the drift speed of the conduction electrons?

(e) What potential difference must exist between the ends of a **2.40-m** length of the wire to produce the stated electric field?

[Click here to begin!](#)

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### Explanation of Diagrams

In this case, there are no diagrams or graphs present in the original problem statement. The focus is on the quantitative analysis of the properties of an aluminum wire under given conditions, which involves calculations and the use of reference tables for resistivity and temperature coefficients. 

Please ensure to have access to the necessary tables and formulas to complete the exercises.
Transcribed Image Text:### Problem Statement An aluminum wire with a diameter of **0.090 mm** has a uniform electric field of **0.270 V/m** imposed along its entire length. The temperature of the wire is **40.0° C**. Assume one free electron per atom. #### Questions: (a) Use the information in this [Table of Resistivities and Temperature Coefficients](#) to determine the resistivity of aluminum at this temperature. (b) What is the current density in the wire? (c) What is the total current in the wire? (d) What is the drift speed of the conduction electrons? (e) What potential difference must exist between the ends of a **2.40-m** length of the wire to produce the stated electric field? [Click here to begin!](#) --- ### Explanation of Diagrams In this case, there are no diagrams or graphs present in the original problem statement. The focus is on the quantitative analysis of the properties of an aluminum wire under given conditions, which involves calculations and the use of reference tables for resistivity and temperature coefficients. Please ensure to have access to the necessary tables and formulas to complete the exercises.
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