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 elctric field if the above setup, the consecutive charges have opposite signs. |
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Answer» Correct Answer - `(q)/(3pi in_(0)) , (q)/(5pi in_(0))` (i) Electric field at `x = 0` `E = (1)/(4pi in_(0)) [(q)/(1^(2)) + (q)/(2^(2)) + (q)/(4^(2)) + ….]` `= (q)/(4pi in_(0)) [(1)/(1) + (1)/(4) + (1)/(16) + …..]^(**)` `E = (q)/(4pi in_(0)) [(1)/(1- 1//4)] = (q)/(5pi in_(0))` |
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