Question
Question asked by Filo student
Texts: 2. Multipole moments Given a charge distribution ρ = q(r-a) + q(r+a) - q(r-a), where q > 0, R and a are given in Cartesian coordinates by a = a₀₀ and a = 0a₀ with a > 0.
- Calculate the resulting potential and the electric field E.
- What is the electrostatic energy of this charge distribution (without including the self-energy contribution of the point charges themselves)?
- Determine the dipole moment p = ∫dV and the quadrupole moment Q = ∫(3x'x' - r²F) for all i, j = 1, 2, and 3, where F = x'²x'³ = x'²³ and the integrals can be taken to be over the whole of space.
- By using the multipole expansion for the potential r up to the quadrupole moment which we derived in the lectures, determine the leading-order behavior of the potential in the following cases:
Filo tutor solution
Learn from their 1-to-1 discussion with Filo tutors.
Generate FREE solution for this question from our expert tutors in next 60 seconds
Don't let anything interrupt your homework or exam prep with world’s only instant-tutoring, available 24x7
Found 4 tutors discussing this question
Discuss this question LIVE
5 mins ago
Practice more questions on All topics
Question 2
Easy
Views: 5,346
Question 3
Medium
Views: 6,183
List - I
(A) Root mean square speed of gas molecules
(B) Pressure exerted by ideal gas
(C) Average kinetic energy of a molecule
(D) Total internal energy of 1 mole of a diatomic gas
List - II
(P)
(Q)
(R)
(S)
Question 4
Easy
Views: 6,138
Students who ask this question also asked
Question 1
Views: 5,097
Question 2
Views: 5,085
Question 3
Views: 5,725
Question 4
Views: 5,369
Question Text | Texts: 2. Multipole moments Given a charge distribution ρ = q(r-a) + q(r+a) - q(r-a), where q > 0, R and a are given in Cartesian coordinates by a = a₀₀ and a = 0a₀ with a > 0. |
Topic | All topics |
Subject | Physics |
Class | Class 11 |