Question

Find the length of a copper wire with resistance $0.0273 \Omega / \mathrm{ft}$ and total resistance $3.97 \Omega$.

Name: Problem 10, Chapter 17: Applied Physics
Uploaded: 2021-07-09T08:44:27-08:00
Duration: 1 min 20 s
Channel: Prabhu Ramji
Description: Find the length of a copper wire with resistance 0.0273 Ω/ ft and total resistance 3.97 Ω.

   Find the length of a copper wire with resistance $0.0273 \Omega / \mathrm{ft}$ and total resistance $3.97 \Omega$.

Applied Physics

Dale Ewen, Neill… 10th Edition

Chapter 17, Problem 10

Instant Answer

Solved by Expert Prabhu Ramji

07/09/2021

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This can be expressed as $R \propto L$. Show more…

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Find the length of a copper wire with resistance $0.0273 \Omega / \mathrm{ft}$ and total resistance $3.97 \Omega$.

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Key Concepts

Resistance per Unit Length

Resistance per unit length describes how much electrical resistance is present in a conductor for each unit of its length. It provides a convenient way to calculate the overall resistance of a continuous piece of material by relating it directly to its length.

Proportional Relationship between Resistance and Length

This principle states that for a uniform wire, the total resistance is directly proportional to its length. This means that if you know the resistance per unit length, you can determine the total resistance by multiplying by the length, or conversely, find the required length by dividing the total resistance by the resistance per unit length.

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