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A and \( \mathrm{B} \) are two points on the axis and the perpendicular bisector respectively of an electric dipole. A and \( \mathrm{B} \) are far away from the dipole and at equal distance from it. The field at \( \mathrm{A} \) and \( \mathrm{B} \) are \( \overrightarrow{\mathrm{E}}_{\mathrm{A}} \) and \( \overrightarrow{\mathrm{E}}_{\mathrm{B}} \).
\( P \)
(A) \( \overrightarrow{\mathrm{E}}_{\mathrm{A}}=\overrightarrow{\mathrm{E}}_{\mathrm{B}} \)
(B) \( \overrightarrow{\mathrm{E}}_{\mathrm{A}}=2 \overrightarrow{\mathrm{E}}_{\mathrm{B}} \)
\( \mathrm{W} \)
(C) \( \overrightarrow{\mathrm{E}}_{\mathrm{A}}=-2 \overrightarrow{\mathrm{E}}_{\mathrm{B}} \)
(D) \( \left|\mathrm{E}_{\mathrm{B}}\right|=\frac{1}{2}\left|\mathrm{E}_{\mathrm{A}}\right| \), and \( \overrightarrow{\mathrm{E}}_{\mathrm{B}} \) is perpendicular to \( \overrightarrow{\mathrm{E}}_{\mathrm{A}} \)
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