An electric dipole (discussed in detail in Section 4.7) consists of two point charges of equal and opposite magnitude ± Q spaced by distance d. With the charges along the z axis at positions z = ±d/2 (with the positive charge at the positive z location), the electric field in spherical coordinates is given by E(r,θ) = [ Qd/(4πϵ0r 3)][2cos θ ar + sin θ aθ ], where r >> d .Using rectangular coordinates, determine expressions for the vector force on a point charge of magnitude q (a) at (0, 0, z); (b) at (0, y, 0).
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