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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![### Magnetic Field Calculation
**Problem Statement:**
Find the magnitude of the magnetic field at the center of a 73 turn circular coil with a radius of 13.9 cm, when a current of 2.79 A flows through it.
**Required Information:**
- Number of turns in the coil (N): 73 turns
- Radius of the circular coil (r): 13.9 cm (0.139 meters)
- Current flowing through the coil (I): 2.79 A
**Formula to Use:**
To find the magnetic field at the center of a circular coil, we can use the formula:
\[ B = \frac{\mu_0 \cdot N \cdot I}{2 \cdot r} \]
Where:
- \(B\) is the magnetic field
- \(\mu_0\) is the permeability of free space (\(\mu_0 = 4\pi \times 10^{-7} \, \text{T}\cdot\text{m/A}\))
- \(N\) is the number of turns
- \(I\) is the current in amperes (A)
- \(r\) is the radius of the coil in meters (m)
**Calculation Section:**
Enter the magnitude of the magnetic field in the box provided:
**Magnitude:** \[ \boxed{\text{T}} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37e1db01-06d0-4e20-aae1-26f96b6814c3%2Fe13d5440-2784-4f4e-b274-9f1cb6b7379f%2Fv9h4di_processed.png&w=3840&q=75)
Transcribed Image Text:### Magnetic Field Calculation
**Problem Statement:**
Find the magnitude of the magnetic field at the center of a 73 turn circular coil with a radius of 13.9 cm, when a current of 2.79 A flows through it.
**Required Information:**
- Number of turns in the coil (N): 73 turns
- Radius of the circular coil (r): 13.9 cm (0.139 meters)
- Current flowing through the coil (I): 2.79 A
**Formula to Use:**
To find the magnetic field at the center of a circular coil, we can use the formula:
\[ B = \frac{\mu_0 \cdot N \cdot I}{2 \cdot r} \]
Where:
- \(B\) is the magnetic field
- \(\mu_0\) is the permeability of free space (\(\mu_0 = 4\pi \times 10^{-7} \, \text{T}\cdot\text{m/A}\))
- \(N\) is the number of turns
- \(I\) is the current in amperes (A)
- \(r\) is the radius of the coil in meters (m)
**Calculation Section:**
Enter the magnitude of the magnetic field in the box provided:
**Magnitude:** \[ \boxed{\text{T}} \]
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