PHY532 Problem Set 3. Due March 8, 2001

1.

Study Cherenkov radiation using the method of the handouts, generalizing to the case with unit permeability but permitivitty $\epsilon$($\omega$) . Show that the energy radiated per unit length by a particle of charge ze moving at velocity $\mbox{\boldmath$\space {\beta} $}$c is given by Jackson Eq. 13.48. Also show that the angle of emission of radiation is given by Jackson Eq. 13.50.

2.

Jackson problem 7.3

3.

Jackson problem 7.6