A copper wire of radius a = 0.151 mm has an aluminum jacket of outer radius b = 0.220 mm. There is a current i = 2.29 A in the composite wire. Take the resistivity for copper and aluminum to be 1.69 × 10-8-m and 2.75 x 10-80-m. Calculate the current in (a) the copper and (b) the aluminum. (c) If a potential difference V = 15.0 V between the ends maintains the current, what is the length in meters of the composite wire? (a) Number (b) Number (c) Number M i i Units Units Units

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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### Problem Description

A copper wire of radius \( a = 0.151 \, \text{mm} \) has an aluminum jacket with an outer radius \( b = 0.220 \, \text{mm} \). There is a current \( i = 2.29 \, \text{A} \) flowing through the composite wire. The resistivity values for copper and aluminum are given as \( 1.69 \times 10^{-8} \, \Omega \cdot \text{m} \) and \( 2.75 \times 10^{-8} \, \Omega \cdot \text{m} \) respectively. The tasks are as follows:

(a) Calculate the current in the copper section of the wire.

(b) Calculate the current in the aluminum section of the wire.

(c) Determine the length of the composite wire if a potential difference \( V = 15.0 \, \text{V} \) between the ends maintains the current.

### Input Fields

- **(a)** Input for the calculated current in the copper wire, with unit selection.
- **(b)** Input for the calculated current in the aluminum jacket, with unit selection.
- **(c)** Input for the length of the composite wire, with unit selection.

These entries allow the user to input numerical answers to the posed questions and select appropriate units for each quantity.
Transcribed Image Text:### Problem Description A copper wire of radius \( a = 0.151 \, \text{mm} \) has an aluminum jacket with an outer radius \( b = 0.220 \, \text{mm} \). There is a current \( i = 2.29 \, \text{A} \) flowing through the composite wire. The resistivity values for copper and aluminum are given as \( 1.69 \times 10^{-8} \, \Omega \cdot \text{m} \) and \( 2.75 \times 10^{-8} \, \Omega \cdot \text{m} \) respectively. The tasks are as follows: (a) Calculate the current in the copper section of the wire. (b) Calculate the current in the aluminum section of the wire. (c) Determine the length of the composite wire if a potential difference \( V = 15.0 \, \text{V} \) between the ends maintains the current. ### Input Fields - **(a)** Input for the calculated current in the copper wire, with unit selection. - **(b)** Input for the calculated current in the aluminum jacket, with unit selection. - **(c)** Input for the length of the composite wire, with unit selection. These entries allow the user to input numerical answers to the posed questions and select appropriate units for each quantity.
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