Question

Consider a system of charged particles for which the ratio of charge to mass, q_i / m_i, is the same for each particle. Show that the total dipole moment can be written as p = (q_i / m_i) M R_cm where M is the total mass of the system and R_cm is the position vector of the center of mass. Show that, if there is no net external force on the system, it will not produce electric dipole radiation. Similarly, show that, if there is no net external torque on the system, it will not produce magnetic dipole radiation either.

Answer 1

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