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There is an infinite straight chain of alternating charges q and -q. The distance between neighbouring charges is equalto d. Find the interaction energy of each chargewith all the other charges. |
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Answer» Solution :The interaction energy of CHARGE at C due to charges on one SIDE (right or left) is `U=(1)/(4pi in_(0)) {(q(-q))/(a)+(q(q))/(2a)+(q(-q))/(3a)+(q(q))/(4A) +…..oo}` `=(q^(2))/(4pi in_(0) a){-1+(1)/(2)-(1)/(3)+(1)/(4)…….} =(-q^(2)ln2)/(4pi in_(0)a)` So, total interaction energy is 2U 
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