UPSC Exam  >  UPSC Questions  >  Consider two charges +Q and -Q placed at poin... Start Learning for Free
Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin?
Most Upvoted Answer
Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in pla...
Calculation of Dipole Moment
To calculate the dipole moment of the given charge distribution with respect to the origin, we need to consider the charges +Q and -Q placed at points (a, 0) and (-a, 0) respectively.

Definition of Dipole Moment
The dipole moment (p) is defined as the product of the magnitude of one of the charges (Q) and the distance between the charges (2a) in the direction from -Q to +Q.

Mathematical Expression
The dipole moment is given by the formula:
p = Q * 2a

Effect of Moving Origin
When the origin is moved to the point (X, Y), the position vectors of the charges become (a-X, -Y) and (-a-X, -Y) respectively.

Calculation of New Dipole Moment
The new dipole moment (p') with respect to the new origin is given by:
p' = Q * (a-X) - Q * (-a-X) = 2Q * (a+X)

Conclusion
Thus, the magnitude of the dipole moment of the given charge distribution with respect to the new origin is 2Q * (a+X).
Explore Courses for UPSC exam

Top Courses for UPSC

Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin?
Question Description
Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin?.
Solutions for Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin? in English & in Hindi are available as part of our courses for UPSC. Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin? defined & explained in the simplest way possible. Besides giving the explanation of Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin?, a detailed solution for Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin? has been provided alongside types of Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin? theory, EduRev gives you an ample number of questions to practice Consider two charges +Q and -Q placed at points (a, 0) , (-a, 0)in plane if origin is moved to the point (X, Y) the magnitude of the dipole moment of given charge distribution with respect to origin? tests, examples and also practice UPSC tests.
Explore Courses for UPSC exam

Top Courses for UPSC

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev