Engineering and Applied Sciences Applied Physics 216 Lecture 11: Lecture 11

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Ap 216 lecture 11 forces, torques and responses of localized charge densities to. In this lecture the external electric and magnetic fields will always be caused by some rigid external charge density and current. Our goal is to find the forces on localized charge and current densities due to the external electromagnetic fields. (t ) which is the center of mass of a localized system of. At time t we focus on a point x charges and currents. X(x ",t) near x "= 0 (t) there is a (t) we have. X are defined so they, and any moments calculated from them are (t). Note that x is an independent will have their own dynamics so we have to be careful. The quantities x and j associated with the system (particle) localized around x variable like t, and that and j. In addition we assume x total force on the localized charged system.

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