College Physics
11th Edition
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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Question
Determine the energy density in the magnetic field at a distance of 10cm from a long straight wire carrying a current of 16.91 A (in m=).
Take a look correct answer and show all work please
![**Problem Statement:**
Determine the energy density in the magnetic field at a distance of 10 cm from a long straight wire carrying a current of 16.91 A (in \(\mu J/m^3\)).
**Your Answer:**
928.77
**Correct Answer:**
455.1005 (margin of error +/- 1%)
**Explanation:**
In this problem, you are asked to calculate the energy density of a magnetic field at a specific distance from a current-carrying wire. Energy density in a magnetic field can be determined using the formula:
\[
u = \frac{B^2}{2\mu_0}
\]
Where:
- \(u\) is the energy density.
- \(B\) is the magnetic field strength.
- \(\mu_0\) is the permeability of free space (\(4\pi \times 10^{-7} \, T\cdot m/A\)).
The discrepancy between the provided answer and the correct answer suggests a potential error in calculations or understanding of the magnetic field's behavior or units involved. Proper attention to the conversion between units and the accuracy in calculations is essential for solving such physics problems.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee22cf2f-b974-4b00-a3cf-09b388e7d65d%2Fbba4b182-9497-4502-ac82-a3d9e2d520f1%2Fwwc1txj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Determine the energy density in the magnetic field at a distance of 10 cm from a long straight wire carrying a current of 16.91 A (in \(\mu J/m^3\)).
**Your Answer:**
928.77
**Correct Answer:**
455.1005 (margin of error +/- 1%)
**Explanation:**
In this problem, you are asked to calculate the energy density of a magnetic field at a specific distance from a current-carrying wire. Energy density in a magnetic field can be determined using the formula:
\[
u = \frac{B^2}{2\mu_0}
\]
Where:
- \(u\) is the energy density.
- \(B\) is the magnetic field strength.
- \(\mu_0\) is the permeability of free space (\(4\pi \times 10^{-7} \, T\cdot m/A\)).
The discrepancy between the provided answer and the correct answer suggests a potential error in calculations or understanding of the magnetic field's behavior or units involved. Proper attention to the conversion between units and the accuracy in calculations is essential for solving such physics problems.
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