Self-torque and angular momentum balance for a spinning charged sphere

Bonga, Beatrice; Poisson, Eric; Yang, Huan

doi:10.1119/1.5054590

Self-torque and angular momentum balance for a spinning charged sphere

May 1, 2018

13 pages

Published in:

Am.J.Phys. 86 (2018) 11, 839

Published: Oct 18, 2018

e-Print:

1805.01372 [physics.class-ph]

DOI:

10.1119/1.5054590 (publication)

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Abstract: (AIP)

Angular momentum balance is examined in the context of the electrodynamics of a spinning charged sphere, which is allowed to possess any variable angular velocity. We calculate the electric and magnetic fields of the (hollow) sphere, and express them as expansions in powers of τ/tc ≪ 1, the ratio of the light-travel time τ across the sphere and the characteristic time scale tc of variation of the angular velocity. From the fields we compute the self-torque exerted by the fields on the sphere, and argue that only a piece of this self-torque can be associated with radiation reaction. Then we obtain the rate at which angular momentum is radiated away by the shell, and the total angular momentum contained in the electromagnetic field. With these results we demonstrate explicitly that the field angular momentum is lost in part to radiation and in part to the self-torque; angular momentum balance is thereby established. Finally, we examine the angular motion of the sphere under the combined action of the self-torque and an additional torque supplied by an external agent.

Note:

13 pages, matches version published in American Journal of Physics

References(30)

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