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Two charge Q each are laced at a distance x from each other . A third charge q is placed mid way between the two charges. Prove that the system of three charge can be in equilibrium if q=Q/4

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brianna65595
To prove that the system of three charges can be in equilibrium when q = Q/4 we observe that the third charge q experiences equal and opposite forces from the two charges ( Q ) due to their symmetric arrangement. These forces cancel each other out, resulting in equilibrium for the system. Therefore, the net force on q is zero, confirming that the system can be in equilibrium when q = Q/4.

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