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1.31 Decreasing energy? * A hollow spherical shell with radius R has charge Q uniformly dis- tributed over it. The task of Problem 1.32

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1.31 Decreasing energy? * A hollow spherical shell with radius R has charge Q uniformly dis- tributed over it. The task of Problem 1.32 is to show that the energy stored in this system is Q/87 R. (You can derive this here if you want, or you can just accept it for the purposes of this problem.) Now imagine taking all of the charge and concentrating it in two point charges Q/2 located at diametrically opposite positions on the shell. The energy of this new system is (Q/2)/47 0 (2R) Q/32ER, which is less than the energy of the uniform spheri- cal shell. Does this make sense? If not, where is the error in this reasoning? =

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