Vol 2 - Landau, Lifshitz - The classical theory of fields (4th, 1994) (1) · Problem 9.14

Radiation of Electromagnetic Waves

Physics — Landau & Lifshitz · radiation-two-charges

Problem

Two charges

+q

and

-q

are separated by a distance

d(t) = d_0 \cos(\omega t)

(an oscillating dipole). (a) What is the dipole moment as a function of time? (b) What is the total power radiated? (c) If

q = 1.6\times 10^{-19}

d_0 = 10^{-10}

m, and

\omega = 10^{15}

rad/s, evaluate the power numerically.