A charged particle, A, moving at a speed much less than c, decelerates uniformly. A second particle, B, has one-half the mass, twice the charge, three times the velocity, and four times the acceleration of particle A. According to classical electrodynamics, the ratio PB/PA of the powers radiated is
A. 16
B. 32
C. 48
D. 64
E. 72
(GR9677 #70)
Solution:
Larmor formula:
Power radiated by an accelerating non-relativistic point charge particle,
P = q²a² ⁄ 6πɛ0c³
P does not depend on m and v.
PB/PA = (2q)² (4a)² ⁄q²a² = 64
Answer: D
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