An aluminum wire with a diameter of 0.115 mm has a uniform electric field of 0.215 V/m imposed along its entire length. The temperature of the wire is 45.0°C. Assume one free electron per atom. (a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in 2 m) of aluminum at this temperature. Ω· m p= (b) What is the current density (in MA/m²) in the wire? J = MA/m² (c) What is the total current (in mA) in the wire? I = mA

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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**Transcription for Educational Website**

**Problem Statement:**

An aluminum wire with a diameter of 0.115 mm has a uniform electric field of 0.215 V/m imposed along its entire length. The temperature of the wire is 45.0°C. Assume one free electron per atom.

**Questions:**

(a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in Ω · m) of aluminum at this temperature.

   \(\rho = \_\_\_\_\_\) Ω · m

(b) What is the current density (in MA/m²) in the wire?

   \(J = \_\_\_\_\_\) MA/m²

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

   \(I = \_\_\_\_\_\) mA

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

   \(v_d = \_\_\_\_\_\) μm/s

(e) What potential difference must exist between the ends of a 2.50 m length of the wire to produce the stated electric field?

   \(\Delta V = \_\_\_\_\_\) V

**Explanation of Diagrams and Graphs:**

There are no graphs or diagrams included in the provided content.
Transcribed Image Text:**Transcription for Educational Website** **Problem Statement:** An aluminum wire with a diameter of 0.115 mm has a uniform electric field of 0.215 V/m imposed along its entire length. The temperature of the wire is 45.0°C. Assume one free electron per atom. **Questions:** (a) Use the information in this Table of Resistivities and Temperature Coefficients to determine the resistivity (in Ω · m) of aluminum at this temperature. \(\rho = \_\_\_\_\_\) Ω · m (b) What is the current density (in MA/m²) in the wire? \(J = \_\_\_\_\_\) MA/m² (c) What is the total current (in mA) in the wire? \(I = \_\_\_\_\_\) mA (d) What is the drift speed of the conduction electrons? \(v_d = \_\_\_\_\_\) μm/s (e) What potential difference must exist between the ends of a 2.50 m length of the wire to produce the stated electric field? \(\Delta V = \_\_\_\_\_\) V **Explanation of Diagrams and Graphs:** There are no graphs or diagrams included in the provided content.
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