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**E&M Electric Fields (Harmonic Motion????)**

This problem comes out of "Physics (for scientists and engineers w/ modern physics) Volume 2 7th Edition" by Serway/Jewett

**Review Problem**Two identical particles, each having charge +q, are fixed in space and separated by a distance d. A third particle with charge -Q is free to move and lies initially at rest on the perpendicular bisector of the two fixed charges a distance x from the midpoint between the two fixed charges.

A. Show that if x is small compared with d, the motion of -Q is simple harmonic along the perpendicular bisector. Determine the period of that motion.

Regarding harmonic motion, I don't even know where to begin. This problem most likely has something to do with Coulomb's law but I don't see how that helps.

Edit: I can find the net forces by adding each of the respective components together, but I have no clue what to do then.

Anyone have ideas?

-Physicsnewblol

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