Consider a cube made up of eight charges, each with equalmagnitude q but alternating sign as shown in the figure onthe right. This assembly is called an electric octopole, andis also the basis for simple cubic crystal lattices formed ofopposite ions, such as NaCl (table salt). At this scale we mayneglect gravity.a) What's the potential energy Udip required to assemble justtwo opposite charges into a single edge of this cube? Thisforms an electric dipole. (Hint: It doesn't take any energy to"assemble" the first charge.)+9+9 db) What's the potential energy Uquad required to assemblefour charges into a single face of this cube? This forms an electric quadrupole.+9-9+9c) What's the potential energy Uoet required to assemble all eight charges into the octopole? (Hint: Fora cube there are a lot of pairings between charges, specifically (9) = 28, comprised of the shown edges, aswell as several diagonals. Instead of adding the contribution to the potential for bringing in one charge ata time, it may be easier to consider the overall cube and count the edges and diagonals with same lengthsand put the total potential energy together from there.)

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Answered: Consider a cube made up of eight…

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