Physics Problem Set 6 for Phys 606 Course - Prof. Adil B. Hassam, Assignments of Physics

Download Physics Problem Set 6 for Phys 606 Course - Prof. Adil B. Hassam and more Assignments Physics in PDF only on Docsity! C:\Documents and Settings\hassam\My Documents\Work\Courses\Phys 606\PS6.doc Phys606/S06/Hassam/Problem Set 6 Due 03/17/06 (updated 3/13/06) 6.1H Consider the system shown in left-hand Figure below. Place an electric dipole as shown. Now place 3 other dipoles at the remaining corners, either in “spin-up” or “spin-down” configuration. What arrangement has the minimum potential energy? Repeat this for the right-hand Fig. Of the two “lattice configurations”, is one more likely than the other to result in permanent average electric polarizations? The squares are of equal sides. 6.2H Consider the charge distributions (a) and (b) in Jackson Problem 4.1 1. Calculate q, p, and Q for each case 2. Write down the multipole expansion for ϕ(x) upto the quadrupole term for both cases. 3. Calculate directly from Coulomb's Law the exact potential, then expand in small d and show that the terms in your expansion agree with those found in 2. Jackson 4.5a Obtain the expression for F only upto the p.E term.