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Two identical point charges, each with charge +q, are fixed in space and separated by a distance "d". A third point charge -Q of mass "m" It can move freely and is initially at rest on the x-axis at a distance "x" +q

Two identical point charges, each with charge +q, are fixed in space and separated by a distance "d". A third point charge -Q of mass "m" It can move freely and is initially at rest on the x-axis at a distance "x" +q

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Two identical point charges, each with charge +q, are fixed in space and separated by a distance "d". A third point charge -Q of mass "m" It can move freely and is initially at rest on the x-axis at a distance "x" +q d/2 0 d/2 +q -Q X Prove that for very small "x" (x<<d), the movement of -Q is simple harmonic to along the x-axis. Find the period of the small oscillations.
Transcribed Image Text:Two identical point charges, each with charge +q, are fixed in space and separated by a distance "d". A third point charge -Q of mass "m" It can move freely and is initially at rest on the x-axis at a distance "x" +q d/2 0 d/2 +q -Q X Prove that for very small "x" (x<<d), the movement of -Q is simple harmonic to along the x-axis. Find the period of the small oscillations.
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