Question

3, (10 Points) Show that the vector potential A for the quadrupole arrangement is cos e wtol Hint: last week we already calculated Griffiths Eq. 11.16 to second order for a dipole. Again, you can use problem 1 to simplify the 1/R terms. Again, you only need teo expand the numerator to first order . (5 Extra Credit Points) You now have A and V. Calculate E and B. 1. (5 Points) In the previous homework, I claimed that the scalar potential for an electric quadrupole is Also, the expansions to second order in length parameter z for R and 1/R are R r(1_-cos θ +-(-)-sin2 θ + I claim that you can replace 1/R with 1/r. Why? Referring to Fig. 11.3, o rd/2 A(r, t) dz. (11.16) +q d: FIGURE 11.3

Answer 1

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