(6%) Problem 9: Consider an electric dipole where the positive charge, +q, is located on the positive z axis a distance

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6 Problem 9 Consider An Electric Dipole Where The Positive Charge Q Is Located On The Positive Z Axis A Distance 1 (111.55 KiB) Viewed 53 times

(6%) Problem 9: Consider an electric dipole where the positive charge, +q, is located on the positive z axis a distance d/2 above the x - y plane, and the negative charge, -q, is located on the negative z axis a distance d/2 below the x - y plane, as shown. If the evaluation point is at a distance which is very large as compared to the separation between the charges, then the form of the expression for the net electric field has a very simplified form in terms of the electric dipole moment (EDM). |E₁|= (y q)/(z-d/2)² X Incorrect! Give Up used. + |E| = 0 Ē 80 π + = ☆ 17% Part (a) Enter an exact expression for the magnitude of the vector E4, the contribution of the positive charge to the electric field at the point (0, 0, z) where z > d/2. g n X A 17% 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, z) where z > d/2. Submit Y 0 h q y Hint Ho d m u Z (1) 7 8 个^^||4 5 / * + 1 2 3 0 END VO BACKSPACE DEL CLEAR - 9 6 Feedback . k HOME I give up! +q - 9 d/2 3 Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: 7 (0% per attempt) detailed view
A 17% Part (c) Enter an exact expression for the total electric field vector Ēnet, at the point (0, 0, z). A 17% Part (d) Notice that when z » d, then z² ± ď² /4 ~ z². Use this approximation to simplify your expression from the previous part. Enter your vector result. A17% Part (e) The EDM (electric dipole moment) is represented by a 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 and towards the positive charge. Rewrite your vector expression for the electric field of the dipole in terms of the EDM, p. ✓ 17% Part (f) Which statement best compares the asymptotic behavior of the electric field of a dipole and the electric field of a point charge? The magnitude of the electric field of a dipole decreases more rapidly than the magnitude of the electric field of a point charge. ✓ Correct!