Three sphere charge redistribution · CAP 2019 #10

Physics · electromagnetism

Problem

Two identical metal spheres A and B carry charges +q and −q respectively. They are separated from each other in vacuum space. The force between them is F. Now a third identical sphere C which initially carries a charge −2q touches the sphere A and then the sphere B, after which the sphere C is immediately removed. What is the force between sphere A and B now? a) F b) −F c) 3F8\frac{3F}{8} d) −3F8-\frac{3F}{8} e) F4\frac{F}{4} f) −F4-\frac{F}{4}

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