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Electricity and Magnetism

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The x Component of the Dipole Field in the First Quadrant

EANDM-G7V1A1

Figure 1 depicts an electric dipole in which the separation between the positive and negative charges is equal to $\alpha = 3.90 \text{ pm}$, and the magnitude of each charge is equal to $q = 10e$, 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 $r = 4.30 \text{ nm}$ 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

$E_{dx} = 1.41 \times 10^6 \text{ N/C}$.

B

$E_{dx} = 1.08 \times 10^6 \text{ N/C}$.

C

$E_{dx} = 5.41 \times 10^5 \text{ N/C}$.

D

$E_{dx} = 1.04 \times 10^6 \text{ N/C}$.