- A proton moves with a velocity of 100000 m/s in a region in which the magnetic field is 2 T. What is the magnitude of the magnetic force this charge experiences?
- A proton moves with a velocity of 100000 m/s in a region in which the magnetic field is 2 T. What is the magnitude of the magnetic force this charge experiences?
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)...
Related questions
Question
100%
Please show all work using this. (Actual values, equations, and drawings)
![**Problem Statement:**
A proton moves with a velocity of 100,000 m/s in a region where the magnetic field is 2 T (Tesla). What is the magnitude of the magnetic force this charge experiences?
**Concept Explanation:**
To solve this problem, we need to apply the formula for the magnetic force acting on a charged particle moving through a magnetic field:
\[ F = q \times v \times B \times \sin(\theta) \]
Where:
- \( F \) is the magnetic force,
- \( q \) is the charge of the particle (for a proton, \( q = 1.6 \times 10^{-19} \) C),
- \( v \) is the velocity of the particle (100,000 m/s in this case),
- \( B \) is the magnetic field strength (2 T here),
- \( \theta \) is the angle between the velocity vector and the magnetic field (assuming 90 degrees here for maximum force, so \( \sin(90^\circ) = 1 \)).
**Calculation:**
Substituting the known values into the formula:
\[ F = (1.6 \times 10^{-19} \, \text{C}) \times (100,000 \, \text{m/s}) \times (2 \, \text{T}) \]
\[ F = 3.2 \times 10^{-14} \, \text{N} \]
Therefore, the magnitude of the magnetic force experienced by the proton is \( 3.2 \times 10^{-14} \, \text{newtons (N)} \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F183a4de2-60b8-4988-9fb9-0a70f8d6fd02%2Febf09ed4-3944-449f-86e4-60e1213106b3%2F6nu1udw_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
A proton moves with a velocity of 100,000 m/s in a region where the magnetic field is 2 T (Tesla). What is the magnitude of the magnetic force this charge experiences?
**Concept Explanation:**
To solve this problem, we need to apply the formula for the magnetic force acting on a charged particle moving through a magnetic field:
\[ F = q \times v \times B \times \sin(\theta) \]
Where:
- \( F \) is the magnetic force,
- \( q \) is the charge of the particle (for a proton, \( q = 1.6 \times 10^{-19} \) C),
- \( v \) is the velocity of the particle (100,000 m/s in this case),
- \( B \) is the magnetic field strength (2 T here),
- \( \theta \) is the angle between the velocity vector and the magnetic field (assuming 90 degrees here for maximum force, so \( \sin(90^\circ) = 1 \)).
**Calculation:**
Substituting the known values into the formula:
\[ F = (1.6 \times 10^{-19} \, \text{C}) \times (100,000 \, \text{m/s}) \times (2 \, \text{T}) \]
\[ F = 3.2 \times 10^{-14} \, \text{N} \]
Therefore, the magnitude of the magnetic force experienced by the proton is \( 3.2 \times 10^{-14} \, \text{newtons (N)} \).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 2 images
Knowledge Booster
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
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…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON