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Electricity and Magnetism

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The x Component of the Electric Dipole Field Near the Dipole

EANDM-YTECJE

Figure 1 depicts an electric dipole in which the separation between the positive and negative charges is equal to $d = 0.11$ nm, and the magnitude of each charge is equal to $q = 2e$, where $e = 1.602 \times 10^{-19} \text{ C}$ is the electronic charge.

Figure 1. “Timothy Black. Created for Albert.io. Copyright 2016. All rights reserved.”

The field point $P$ is located a distance $r = 0.036$ nm from the center of the dipole, at an angle of $\theta = 40.0^\circ$ with respect to the positive $x$ axis.

What is the $x$ component of the electric dipole field, $E_{dx}$, at this point? ​

A

$E_{dx} = 1.36 \times 10^{13} \text{ N/C}$.

B

$E_{dx} = 9.22 \times 10^{11} \text{ N/C}$.

C

$E_{dx} = 1.04 \times 10^{13} \text{ N/C}$.

D

$E_{dx} = 6.79 \times 10^{12} \text{ N/C}$.