Physics 511A, 2012: Chapter 5, Volume 2. Constant electromagnetic fields

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Back to Physics 511A, 2012: Graduate Electrodynamics.

Homework Questions

1. Show that $\Delta {\frac {1}{R}}=-4\pi \delta ({\vec {R}})$.
2. Problem after Sec 38.
3. Problem 1 after Sec 39.
4. Verify that 39.3 solves the Hamilton-Jacobi equation.
5. Derive the motion of a relativistic charge in a Coulomb field.
6. Derive Eq. 40.8, 40.11.
7. Verify Eq. 41.9.
8. Sketch the field of a dipole and a quadrupole in the most convenient reference frame.
9. Problem after Sec 41. Compare the monopole, the dipole, and the quadrupole field of the ellipsoid at points $(2a,0,0)$ and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (20 a, 0,0)} .
10. Derive equations 42.4, 42.6, 42.7, 42.8.
11. Derive equation 44.4 from 44.3.
12. Problem after section 44.