College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Related questions
Concept explainers
Question
thumb_up100%
![**Problem Statement:**
If the magnetic field of the wire is \(2.0 \times 10^{-4}\) T and the electron moves at \(9.0 \times 10^{6}\) m/s, what is the magnitude \( F \) of the force exerted on the electron?
Express your answer in newtons to two significant figures.
---
In this problem, you are asked to determine the force on an electron moving in a magnetic field. The relevant equation is the Lorentz force law, which is given by:
\[ F = qvB \sin(\theta) \]
where:
- \( F \) is the force,
- \( q \) is the charge of the electron (\(-1.6 \times 10^{-19}\) C),
- \( v \) is the velocity of the electron,
- \( B \) is the magnetic field strength,
- \( \theta \) is the angle between the velocity and the magnetic field.
For this exercise, assume that the angle \(\theta\) is 90 degrees, meaning the velocity is perpendicular to the magnetic field, thus \(\sin(\theta) = 1\). Therefore, the force can be simplified to:
\[ F = qvB \]](https://content.bartleby.com/qna-images/question/9b0e7686-0c0d-4eba-ac81-54e736b47f2f/ab206ae6-5a20-4027-a34b-9d1e7ca99bd1/upmna9_processed.jpeg)
Transcribed Image Text:**Problem Statement:**
If the magnetic field of the wire is \(2.0 \times 10^{-4}\) T and the electron moves at \(9.0 \times 10^{6}\) m/s, what is the magnitude \( F \) of the force exerted on the electron?
Express your answer in newtons to two significant figures.
---
In this problem, you are asked to determine the force on an electron moving in a magnetic field. The relevant equation is the Lorentz force law, which is given by:
\[ F = qvB \sin(\theta) \]
where:
- \( F \) is the force,
- \( q \) is the charge of the electron (\(-1.6 \times 10^{-19}\) C),
- \( v \) is the velocity of the electron,
- \( B \) is the magnetic field strength,
- \( \theta \) is the angle between the velocity and the magnetic field.
For this exercise, assume that the angle \(\theta\) is 90 degrees, meaning the velocity is perpendicular to the magnetic field, thus \(\sin(\theta) = 1\). Therefore, the force can be simplified to:
\[ F = qvB \]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
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.Similar questions
- Some charged particle travels at a constant speed of 12e5 m/s to the right into a magnetic field of strength 1.7 T pointed out of the page. This causes the particle to start traveling in a circular arc of radius 0.315 m. What is the charge to mass ratio (q/m) of this particle 5.23e5 C/kg None of the above 2.24e6 C/kg 2.99e6 C/kg 7.47e5 C/kgarrow_forwardProtons move perpendicular to a magnetic fiekd where B= 1.1 T. Their path is a circle. Calculate the number of revolutions they make each second. ( The mass of a proton is 1.67x10^-27 Kg)arrow_forward= 6.80 A and the wire lies in the plane of the rectangular loop, which carries a current I, = 10.0 A. The dimensions in the figure are In the figure below, the current in the long, straight wire is I, 0.100 m, a = 0.150 m, and { C = 0.420 m. Find the magnitude and direction of the net force exerted on the loop by the magnetic field created by the wire. magnitude direction to the leftarrow_forward
- 29. At an instant in time, an electron has velocity, v = 100i - 300j + 200k km/s while it is in a magnetic field, B = 2i - 3j + 4k T. Find the acceleration of the electron at this instant. Use the vector table below to show any important vectors. Show only numerical results in the table. (m = 9.109 X 10" kg, q = -i.6 X 10'1º C) Vector i karrow_forwardA proton (with mass m, = 1.67 x 1027 kg, charge q, = 1.6 x 10-19 C) moving with a speed of 0.80 x 105 m/s, enters the Earth's magnetic field (B= 55.0 µT, Northbound). If the proton is shot eastward, the magnetic force acting on it should be O 7.04 x 1019 N West-bound 7.04 x 1019 N upward 8.08 x 1016 N downward 7.04 x 10 19 N downwardarrow_forwardA charged particle is moving through a B-field and experiences a magnetic force (FR>0). The magnetic force vector is shown below. Choose all the vectors that could represent the B-field. Magnetic force B-field 80° 50° 40° 10° 80 10arrow_forward
- A charged particle moving through a magnetic field at right angles to the field with a speed of 30.7 m/s experiences a magnetic force of 2.98 x 10-4 N. Determine the magnetic force on an identical particle when it travels through the same magnetic field with a speed of 4.84 m/s at an angle of 32.2° relative to the magnetic field.arrow_forwardA charge is moving perpendicular to a magnetic field and experiences a force whose magnitude is 2.15 × 10-3 N. If this same charge were to move at the same speed and the angle between its velocity and the same magnetic field were 26.0o, what would be the magnitude of the magnetic force that the charge would experience?arrow_forwardFigure 22.57 56. Find the direction and magnitude of the force that each wire experiences in Figure 22.58(a) by, using vector addition.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
University Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSON
Introduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press 
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Lecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-Wesley
College Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON
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