The force acting on a moving charged particle in a magnetic field B is F = q(v × B) where q is the electric charge of the particle, and v is its velocity. Suppose that a particle moves in the (x, y) plane with a uniform B in the z direction. Assuming Newton’s second law, m dv/dt = F, show that the force and velocity are perpendicular and that both have constant magnitude. Hint: Find (d/dt)(v · v).
The force acting on a moving charged particle in a magnetic field B is F = q(v × B) where q is the electric charge of the particle, and v is its velocity. Suppose that a particle moves in the (x, y) plane with a uniform B in the z direction. Assuming Newton’s second law, m dv/dt = F, show that the force and velocity are perpendicular and that both have constant magnitude. Hint: Find (d/dt)(v · v).
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Related questions
Question
The force acting on a moving charged particle in a magnetic field B is F = q(v × B) where q is the electric charge of the particle, and v is its velocity. Suppose that a particle moves in the (x, y) plane with a uniform B in the z direction. Assuming Newton’s second law, m dv/dt = F, show that the force and velocity are perpendicular and that both have constant magnitude. Hint: Find (d/dt)(v · v).
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 now
This is a popular solution!
Step by step
Solved 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, electrical-engineering and related others by exploring similar questions and additional content below.Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,