v37

Text Solution

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For point P in figure
`V=K_(e)sum(q_(i))/(r_(i))=k_(e)((q)/(x-a)-(q)/(x+a))=(2k_(e)qa)/(x^(2)-a^(2))`
(B) If point P is far from the dipole such that x`gtgt` a then `a^(2)` can be neglected in the term `x^(2)-a^(2)` and V becomes
`V = (2k_(e)qa)/(x^(2)) " " (xgtgta)`
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