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Phys 3327 Fall 2010
HW 2
Due Monday 9/13/10 in lecture
Homework 2
Mostly about Electric and Magnetic Multipoles
Ex 2.1: Particle moving in Magnetic Field
Ex 2.2: Higherorder Multipole Moments
a) The defnition o± the dipole moment contains a re±erence to the origin o± the coordinate
system. Show that the electric dipole moment o± a system o± charges is independent
o± the choice o± origin i± the system has zero net charge.
b) I± there is a net charge, show that one can choose the origin in such a way that the
dipole moment is zero.
c) Extend your observation in (a) to the quadrupole tensor. Show that the electric
quadrupole tensor o± a system o± charges is independent o± the choice o± the origin i±
the system has zero net charge and zero electric dipole moment.
d) Can you also extend your observation o± (b): I± a system o± charges has zero net
charge, but nonzero dipole moment, can you choose the origin such that the electric
quadrupole tensor is zero?
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