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Consider a cube with charges 'q' situated at its corners(a total of 8). Determine the point of stable equilibrium in this cube.

My Answer:

An off hand guess would be the point at the center of the cube, as though a positive charge at the center is suspended in midair.

A point of stable equilibrium is a point of local minimum in the potential energy. Here the potetial energy of 'q' is 'V'. But, we know that Laplace's equation do not allow a local minima for V.

So where would be the point of equilibrium be located?

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# Homework Help: Point of equilibrium of charges

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