What is the strength of the magnetic field produced at the center of the solenoid of length 24 cm and 450 turns. The current in the solenoid is 4.0 A. (μo = 4 x 10-7 T.m/A) 4.8 mT 9.4 m T 0.20 T 0.0063 T 3.2 mT

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)...
icon
Related questions
Question
**Problem:**
What is the strength of the magnetic field produced at the center of the solenoid of length 24 cm and 450 turns? The current in the solenoid is 4.0 A.  
(\( \mu_0 = 4\pi \times 10^{-7} \, \text{T} \cdot \text{m/A} \))

**Options:**
- ○ 4.8 mT
- ○ 9.4 mT
- ○ 0.20 T
- ○ 0.0063 T
- ○ 3.2 mT

**Explanation:**
To solve this problem, use the formula for the magnetic field inside a solenoid:

\[ B = \mu_0 \cdot \left(\frac{N}{L}\right) \cdot I \]

Where:
- \( B \) is the magnetic field,
- \( \mu_0 \) is the permeability of free space,
- \( N \) is the number of turns,
- \( L \) is the length of the solenoid,
- \( I \) is the current.

**Calculation Steps:**
1. Convert the length of the solenoid from centimeters to meters: \( L = 24 \, \text{cm} = 0.24 \, \text{m} \).
2. Use the formula to calculate \( B \).

This question is part of a physics-based educational problem set that helps understand the properties of magnetic fields in solenoids.
Transcribed Image Text:**Problem:** What is the strength of the magnetic field produced at the center of the solenoid of length 24 cm and 450 turns? The current in the solenoid is 4.0 A. (\( \mu_0 = 4\pi \times 10^{-7} \, \text{T} \cdot \text{m/A} \)) **Options:** - ○ 4.8 mT - ○ 9.4 mT - ○ 0.20 T - ○ 0.0063 T - ○ 3.2 mT **Explanation:** To solve this problem, use the formula for the magnetic field inside a solenoid: \[ B = \mu_0 \cdot \left(\frac{N}{L}\right) \cdot I \] Where: - \( B \) is the magnetic field, - \( \mu_0 \) is the permeability of free space, - \( N \) is the number of turns, - \( L \) is the length of the solenoid, - \( I \) is the current. **Calculation Steps:** 1. Convert the length of the solenoid from centimeters to meters: \( L = 24 \, \text{cm} = 0.24 \, \text{m} \). 2. Use the formula to calculate \( B \). This question is part of a physics-based educational problem set that helps understand the properties of magnetic fields in solenoids.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Magnetic field
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON