Difficult# 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.

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?