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首页> 外文期刊>American journal of physics >Self-torque and angular momentum balance for a spinning charged sphere
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Self-torque and angular momentum balance for a spinning charged sphere

机译：用于纺纱带球的自扭矩和角动量平衡

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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 tau/t(c) 1, the ratio of the light-travel time tau across the sphere and the characteristic time scale t(c) 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. (C) 2018 American Association of Physics Teachers.
机译：在纺丝带电球的电动力学的背景下检查角动量平衡，其被允许具有任何可变角速度。我们计算（中空）球体的电源和磁场，并表达它们作为Tau / T（c）＆＆的膨胀的膨胀。图1是球体上的光行程时间tau的比率和角速度变化的特征时间标尺T（c）。从领域，我们计算球体上的田地施加的自扭矩，并且认为只有一件自动扭矩可以与辐射反应相关联。然后我们获得角动量通过壳体辐射的速率，以及电磁场中所含的总角动力。通过这些结果，我们明确地证明了场角动量部分地部分地辐射，部分地损失了自动扭矩;由此建立了角动量平衡。最后，我们在自扭矩的组合动作和由外部剂供应的额外扭矩下检查球体的角度运动。 （c）2018年美国物理教师协会。

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