Introduction to Electrodynamics · Problem 3.57

Potentials — David J. Griffiths

Physics · dipole-circular-orbit

Problem

A stationary electric dipole p=pz^\mathbf{p} = p\hat{z} is situated at the origin. A positive point charge qq (mass mm) executes circular motion (radius ss) at constant speed in the field of the dipole. Characterize the plane of the orbit. Find the speed, angular momentum and total energy of the charge. [Answer:L=qpm/33πϵ0]\left[Answer: L = \sqrt{qpm/3\sqrt{3}\pi\epsilon_0}\right]

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