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An infinite number of charges each equa...

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.

Text Solution

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`2kq, (4kq)/(3)`
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Knowledge Check

  • 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 . The potential at x = 0 due to this set of charges is

    A
    `(4q)/(2piepsilon_(0))`
    B
    `2q//4piepsilon_(0)`
    C
    `(q)/(2piepsilon_(0))`
    D
    `(2q)/(piepsilon_(0))`

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