Physics 511A, 2012: Chapter 3, Volume 2. Charges in electromagnetic field

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Back to Physics 511A, 2012: Graduate Electrodynamics.

Homework Questions

1. Derive the formula for $\nabla \left(\vec{a}\cdot\vec{b}\right)$.
2. Problem after Section 17.
3. Prove that $\frac{d\varepsilon}{dt}=\vec{v}\cdot\frac{d\vec{p}}{dt}$.
4. Verify by direct calculation that the gauge transformation (18.3) doesn't change the equation of motion of a particle in an electromagnetic field.
5. Problem after Section 21.
6. Problem 1 after Section 22.
7. Problem after Section 25.
8. Show the equivalence of the 4-d and the 3-d version of the equations of motion of a particle in a field.
9. Problems 1 and 2 after Section 6.
10. Derive $v/c\to0$ limit of the equations for Lorentz transformation of H,E.