Consider an electric dipole whose dipole moment (a vector pointing from the negitive charge to the positive charge) is oriented at angle θ with respect to the y axis. There is an external electric field of magnitude E (independent of the field produced by the dipole) pointing in the positive y direction. The positive and negative ends of the dipole have charges + q and − q, respectively, and the two charges are a distance d apart. The dipole has a moment of inertia I about its center of mass. It will help you to imagine that the dipole is free to rotate about a pivot through its center. What is the net force F⃗ net that the dipole experiences due to the electric field? Express F⃗ net in terms of the given variables and the unit vectors i^, j^.   What is τcm(θ), the magnitude of the torque that the electric field exerts about the center of mass of the dipole?   Express the magnitude of the total torque in terms of the given quantities.

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

(Figure 1)Consider an electric dipole whose dipole moment (a vector pointing from the negitive charge to the positive charge) is oriented at angle θ with respect to the y axis. There is an external electric field of magnitude E (independent of the field produced by the dipole) pointing in the positive y direction. The positive and negative ends of the dipole have charges + q and − q, respectively, and the two charges are a distance d apart. The dipole has a moment of inertia I about its center of mass. It will help you to imagine that the dipole is free to rotate about a pivot through its center.

What is the net force F⃗ net that the dipole experiences due to the electric field?

Express F⃗ net in terms of the given variables and the unit vectors i^, j^.
 
What is τcm(θ), the magnitude of the torque that the electric field exerts about the center of mass of the dipole?
 
Express the magnitude of the total torque in terms of the given quantities.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Knowledge Booster
Electric 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
  • SEE MORE 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