Concept explainers
(a)
The net electric force acting on the dipole.
(a)
Answer to Problem 110P
The net force is
Explanation of Solution
The charges of dipole are
Write the equation to find the x-component of net force.
Here,
The first terms on the right hand side of above equation denotes x-component of force due to positive charge and the second terms denotes the x-component of force due to negative charge on the dipole.
Rewrite the above relation.
Write the equation to find the y-component of net force.
Here,
The first terms on the right hand side of above equation denotes y-component of force due to positive charge and the second terms denotes the y-component of force due to negative charge on the dipole.
Rewrite the above relation.
Write the equation for net electric force.
Here,
Conclusion:
Substitute
Therefore, the net force is
(b)
Prove that the magnitude of torque on the dipole is
(b)
Answer to Problem 110P
It is proved that the magnitude of torque on the dipole is
Explanation of Solution
The charges of dipole are
Write the equation for net torque.
Here,
Write the equation for
Write the equation for
Write the equation for
Here,
Write the equation for
Rewrite the equation for
Conclusion:
Therefore, it is proved that the magnitude of torque on the dipole is
(c)
Torque acting on the dipoles at angles
(c)
Answer to Problem 110P
Torques at angles
Explanation of Solution
The charges of dipole are
Conclusion:
Substitute
Substitute
Substitute
Therefore, torques at angles
Want to see more full solutions like this?
Chapter 16 Solutions
Physics
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction 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 LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON