Consider an electric dipole where the positive charge +q is located on the positive axis distance 2 above the y plane, and the negative charge -q is located on the negative axis distance d/2 below the y plane as shown. If the evaluation point is at a distance which is very large compared to the separation between the charges, then the form of the expression for the net electric field has a simplified form in terms of the electric dipole moment (EDM). Part (a) Enter an exact expression for the magnitude of the vector E+, the contribution of the positive charge to the electric field at the point (0,0,2) where z d/2. Part (b) Enter an exact expression for the magnitude of the vector E-, the contribution of the negative charge to the electric field at the point (0,0,2) where z d/2. Part (c) Enter an exact expression for the total electric field vector Etotal at the point (0,0,2). Part (d) Notice that when z d, then 2^2 - d^2/4 ≈ 2^2. Use this approximation to simplify your expression from the previous part. Enter your vector result. Part (e) The EDM (electric dipole moment) is represented by vector p. The magnitude of the vector is the product of the positive charge and the separation between the charges. The direction is from the negative charge towards the positive charge. Rewrite your vector expression for the electric field of the dipole in terms of the EDM, p. Which statement best compares the asymptotic behavior of the electric field of a dipole and the electric field of a point charge?
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24 июн 2024