An electron (charge \( =-e \) ) is placed at each of the eight corners of a cube of side \( a \)...

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An electron (charge \( =-e \) ) is placed at each of the eight corners of a cube of side \( a \) and an \( \alpha \)-particle (charge \( =+2 e \) ) at the centre of the cube. Calculate the potential energy of the system.
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