InterviewSolution
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InterviewSolution
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An infinite number of charges each equal to q, are placed along the X-axis at `x = 1, x = 2, x = 4, x = 8`,…….. and so on. (i) find the electric field at a point `x = 0` due to this set up of charges. (ii) What will be the electric field if the above setup, the consecutive charges have opposite signs.A. `(2q)/(3) , 4q`B. `(2q)/(5) ,(4q)/(5)`C. `(2q)/(3),(4q)/(5)`D. `(2q)/(5),(4q)/(7)` |
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Answer» Correct Answer - 3 `V_(o) = (q)/(4 pi in_(0)) [ 1 - (1)/(2) + (1)/(4) + …oo = (1)/(1 - (-1//2))]` ` = (1)/(4 pi in_(0)) [ (2q)/(3)]` `E_(0) = (q)/(4 pi in_(0)) [ 1 - (1)/(4) + (1)/(16) - … = (1)/( 1 - (-1//4))]` `= (1)/(4 pi in_(0)) .(4q)/(5)` |
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