Three point charges are placed on the y-axis a charge q at y = a, a charge −2q at the origin, and a charge q at y = −a. Such an arrangement is called an electric quadrupole. (a) Find the magnitude and direction of the electric field at points on the positive x-axis. (b) Use the binomial expansion to find an approximate expression for the electric field valid for x ≫ a. Contrast this behaviour to that of the electric field of a point charge and that of the electric field of a dipole.
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