N identical point particles, each with charge q, move in a circle of radius a. The angular
Question:
N identical point particles, each with charge q, move in a circle of radius a. The angular position of the jth particle is φj(t) = ω0(t − t0) + θj.
(a) Prove that the power spectrum satisfies N identical point particles, each with charge q, move in a circle of radius a. The angular position of the jth particle is φj (t) = ω0(t − t0) + θj .
(a) Prove that the power spectrum satisfies
(b) Specialize to the case where the charges are equally spaced around the circle at all times. Use part (a) to prove that this configuration radiates only at the frequencies kNω0 where k is a positive integer.
(c) Show that dPm/dwhen the charges are distributed randomly around the ring.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Related Book For
Question Posted: