(Solved): A dipole is composed of a pair of point charges \( \pm q \), separated by a distance \( d \) and al ...

A dipole is composed of a pair of point charges \( \pm q \), separated by a distance \( d \) and aligned parallel with the \( \mathrm{x} \)-axis, as shown in the figure. Find the expression for the potential \( V \) on the \( x \)-axis at point F located at \( x=6.90 \times 10^{-8} \mathrm{~cm} \), where \( x \gg d \). Then, evaluate the potential for a dipole moment of \( p=6.21 \times 10^{-30} \mathrm{C} \cdot \mathrm{m} \). The Coulomb force constant is \( k=1 /\left(4 \pi c_{0}\right)=8.99 \times 10^{9} \mathrm{~N} \cdot \mathrm{m}^{2} / \mathrm{C}^{2} \).