hw2 - Phys 3327 Fall 2010 HW 2 Due Monday in lecture...

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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 Heald & Marion, ex. 1-30. Ex 2.2: Higher-order Multipole Moments a) The definition of the dipole moment contains a reference to the origin of the coordinate system. Show that the electric dipole moment of a system of charges is independent of the choice of origin if the system has zero net charge. b) If 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 of a system of charges is independent of the choice of the origin if the system has zero net charge and zero electric dipole moment. d) Can you also extend your observation of (b): If a system of 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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  • Fall '10
  • Cohen
  • Magnetism, Work, dipole moment, Axial multipole moments, quadrupole, Monopole, Multipole expansion

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