Q80P - Fundamentals Of Physics

Question

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

Step-by-Step Solution

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 1: The given data

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

Step 2: 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.

 

Step 3: 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 $6.88\mathrm{x}{10}^{-28}\text{\hspace{0.17em}C}\cdot \text{m}$