Question

Calculate the electric dipole moment of an electron and a proton $\mathbf{4}\mathbf{.30}\mathbf{\text{nm}}$apart.

Short answer

The electric dipole moment of an electron and a proton$4.30\text{\hspace{0.17em}nm}$ is$6.88\times {10}^{-28}\text{C}\cdot \text{m}$

Step-by-step solution

The given data 

An electron and a proton are$\mathrm{d}=4.30\text{\hspace{0.17em}nm}$ apart.

Understanding the concept of electric dipole moment 

Using the concept of the electric dipole moment, the value of the dipole moment for an electron and a proton can be calculated. Again, the direction of the dipole directs from a negative charge to a positive charge.

Formula:

The magnitude of the dipole moment is given by, $\mathrm{p}=\mathrm{qd}$ (i)

where, q is the positive charge in the dipole and d is the separation of the charges.

Calculation of the electric dipole moment 

For the dipole described in the problem, using the given data in the equation (i), we can get the electric dipole moment as given:

$\begin{array}{c}\mathrm{p}=\left(1.60\mathrm{x}{10}^{-19}\text{\hspace{0.17em}C}\right)\left(4.30\mathrm{x}{10}^{-9}\text{\hspace{0.17em}m}\right)\\ =6.88\mathrm{x}{10}^{-28}\text{C}\cdot \text{m}\end{array}$

The dipole moment is a vector that points from the negative toward the positive charge.

Hence, the value of the dipole moment is $6.88\mathrm{x}{10}^{-28}\text{\hspace{0.17em}C}\cdot \text{m}$