| HW#1, due 31 Jan 2005: If the potential is modified from Coulomb form, 1/r, to Yukawa form, e-r/L/r, find the charge q induced on a conducting sphere of radius R1 when placed inside a concentric conducting sphere of radius R2 > R1. Suppose both spheres are initially uncharged, but connected by a conducting pathway (wire). Then charge Q is placed uniformly on the external sphere. Express q in terms of Q, R1, R2, and L. You may assume L >> R2. Jackson 1.3, 1.4 (also determine potentials, and plot them), 1.5, 1.14, 1.21, 1.24 |
| HW#2, due 14 Feb 2005: Jackson 2.3, 2.6, 2.7, 2.12, 2.17, 2.26 |
| HW#3, due 25 Feb 2005: Jackson 3.2, 3.7, 3.8, 3.26, 3.17, 3.20 For the homogeneous Dirchlet boundary condition Green function G(r,s), within a sphere of radius R, expand r<n/r>n+1 - (rs)n/R2n+1 in terms of jn(kr)jn(ks) summed over k such that jn(kR)=0. Here r< = min(r,s) and r> = max(r,s). |
| HW#4, due 8 Mar 2005: Jackson 4.1, 4.5, 4.7, 4.13 Verify in detail Eq(5.37) for the current ring vector potential. |
| HW#5, due 4 April: Jackson 5.3, 5.8, 5.9, 5.18, 5.23, 5.25, 5.35 |
| HW#6, due 15 April: Jackson 6.6, 6.8, 6.11, 6.14, 6.18, 6.24 |
| HW#7, due 22 April: Jackson 7.2, 7.7, 7.22 |
| HW#8, due ... well, OK, let's
save this one until Fall 2005: Jackson 8.2, 8.5, 8.7, 8.9, 8.14, 8.17 |