If you have a sphere with a positive uniform charge density p, and radius r, wit

Question

If you have a sphere with a positive uniform charge density p, and radius r, with a small hole (hole does not affect electric field) drilled through the center that goes through the entire sphere. There is a charged particle (negative) directly in the center of the sphere (within the drilled passage) originally at rest. You move the particle slightly to the left. What will be the frequency of oscillation of the particle at some time t. After having found the electric potential and the electric potential energy, how do I find the frequency of oscillation?

Explanation / Answer

take derivayive of the pot. energy to find the restoring force and then write the force balance equation analogus to spring vibration equation.Then find the frequency.

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