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An infinite number of charges equal to 2nC in magnitude are placed along x-axis is 1cm, 3cm, 9cm,27cm, ...... . If consecutive charges have opposite sign, find V=? at x=0. [Ans:- 1350V]​

Answer»

The distance of charges from origin FOLLOW a geometric series (dk=3kcm)common RATIO = 3k        +a  −a   +a    −a  .... +a ...... ∞∣q∣=2nc0˙    1˙CM    3˙cm   27˙cm   3k˙cmpotential due to charges,v1=kq0∑∞(31)2kHere series FOLLOWS, 1,9,81... common ratio = (31)2=91=9×109×2×10−9×1−911[sum of infinite GP=1−ra0]⇒v1≃1600v(remember CONVERTING cm to m for d)and due to −q charges,



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