Two charges, $+q$ and $-q,$ are located in the $x-y$ plane at points $(0,+\frac{d}{2})$ and $(0,-\frac{d}{2}),$ respectively. Calculate the magnitude of the electric field at point $P$ with the superposition principle.

Data: $q=31\mathrm{.}0nC,d=3\mathrm{.}00mm$ and $P$ is at $x=60\mathrm{.}0mm.$

${833}^{**}{10}^n-8\frac{N}{C}$

By the principle of linear superposition, the total electric field at position $P$ is the vector sum of the electric field contribution from charges $+Q$ and $-Q.$

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In the previous problem, you can get an approximate answer for the electric field at point $P$ by using the electric dipole approximation which is valid for the limit $x>>d.$ Calculate the magnitude of the electric field at point $P$ with this approximation and the same values for $Q,d$ and $x$ as in the previous problem.

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