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Two charges - q and +q are located at po...

Two charges - q and +q are located at points (0, 0, - a) and (0,0, a), respectively.
Obtain the dependence of potential on the distance r of a point from the origin when `r/a gt gt 1`.

Text Solution

Verified by Experts

The given charges behave as an electric dipole and the dipole length is 2a, hence dipole moment `p = q.2a`.
If `r/a gt gt 1 or r gt gt a `, then electric potential due to the dipole is inversely proportional to `r^2` i.e., `1/r^2`.
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Knowledge Check

  • Two point charges -q and +q are located at points (0,0-a) and (0,0,a) resepctively.The electric potential at point (0,0,z) is (Z gt a)

    A
    `(qa)/(4piepsilon_(0)z^(2))`
    B
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    A
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    B
    `(qd)/(4piepsilon_0(d^2+a^2)^(3//2))hatk`
    C
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    D
    `(-qd)/(4piepsilon_0(d^2+a^2)^(3//2))hatk`
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    A
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    B
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    C
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    D
    both a and b are correct
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