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An electric dipole consists of two charges of equal magnitude and opposite sign saperated by a distance 2 a as shown in figure . The dipole is along the x axis and is centered at the origin (A) Calculate the electric potential at point P . (B ) Calculate V at a point far from the dipole . |
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Answer» Solution :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 pointP 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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