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Aninfinitenumber of charges each of value Q are palced on thex-axisat distances of1, 2, 4, 8, ….. meterfrom the origin. If the charges are alternately positiveand negativefind the electric field (Intensity of electricfield) at origin. |
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Answer» Solution :The electric field `E = (Q)/( 4 pi in_(0)) (1- (1)/(2^(2)) +(1)/(4^(2))-(1)/(8^(2)) + ……) ` `= (Q)/( 4 pi in_(0)) (1)/([ 1 - ((-1)/(4))]) =(Q)/( 4pi in_(0)) . (4)/(5)` SINCE the expressionin thebracketis in GP with a common RATIO `=(1)/(2^(2)) = (1)/(4)`. `E =(4)/(5) . (Q)/( 4pi in_(0)) ` `E = (Q)/( 5 pi in_(0))` |
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