hw2 - Phys 3327 Fall 2010 HW 2 Due Monday 9/13/10 in...

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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: Higher-order 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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hw2 - Phys 3327 Fall 2010 HW 2 Due Monday 9/13/10 in...

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