9. A total charge Q is uniformly distributed on a ring of radius R in the x-y plane centered on the origin. (a) Calculate the electric field and potential at the center of the ring. (b) Consider a particle of mass M and charge -Q constrained to slide along the z-axis. Show that the charge will execute simple harmonic motion for small displacements about the origin and calculate the frequency of oscillation.
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- The electric field due to a uniformly charged ring at a point along its axis can be derived using Coulomb's law and symmetry considerations. However, at the center of the ring, due to the ring's symmetry, the electric field vectors from each infinitesimal part Show more…
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