Physics 511A, 2013: Chapter 3, Volume 2. Charges in electromagnetic field

From Ilya Nemenman: Theoretical Biophysics @ Emory
Jump to: navigation, search
Emory Logo

Back to the main Teaching page.

Back to Physics 511A, 2013: Graduate Electrodynamics.

Homework Questions

  1. Derive the formula for 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 \nabla \left(\vec{a}\cdot\vec{b}\right) } .
  2. Problem after Section 17.
  3. Prove that 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 \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 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 v/c\to0} limit of the equations for Lorentz transformation of 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 H,E} .