# Electric Dipole Moment Vector Calculation

• lacar213
In summary, an electric dipole moment vector is a measure of the separation and direction of two opposite charges within an electric system. It is calculated by multiplying the distance between the two charges by the magnitude of the charges and the cosine of the angle between the line connecting them and the direction of the electric field. The electric dipole moment vector is significant in understanding electric field behavior and is used in various applications. It can be negative and affects the strength and potential energy of an electric field.
lacar213

## Homework Statement

Two opposite point charges of magnitude 1.90e-6 C are located near the origin. The positive charge is at (1.50, 1.50) mm and the negative charge is at (−1.50, −1.50) mm. What is the magnitude of the dipole moment vector for this pair of charges?

## Homework Equations

p = qd
d = sqrt(x^2 + y^2)

## The Attempt at a Solution

I solved d = .002121
solved p = 4.03051e.9

Try calculating d again. It's the distance between the two charges.

Also, including units with the values would be a good habit to get into.

C*mm

Based on the given information, the magnitude of the dipole moment vector for this pair of charges is 4.03051e-9 C*mm. This value was calculated using the equation p = qd, where p is the dipole moment vector, q is the magnitude of either charge, and d is the distance between the two charges. The distance, d, was calculated using the Pythagorean theorem, d = sqrt(x^2 + y^2), where x and y are the coordinates of the two charges. Therefore, the dipole moment vector for this pair of charges is a measure of the strength and orientation of the electric dipole created by these two point charges.

## 1. What is an electric dipole moment vector?

An electric dipole moment vector is a measure of the separation and direction of two opposite charges within an electric system. It is represented by the symbol μ and is measured in units of coulomb-meters (C·m).

## 2. How is the electric dipole moment vector calculated?

The electric dipole moment vector is calculated by multiplying the distance between the two charges by the magnitude of the charges and the cosine of the angle between the line connecting the two charges and the direction of the electric field.

## 3. What is the significance of the electric dipole moment vector?

The electric dipole moment vector is a useful tool in understanding the behavior of electric fields and how they interact with matter. It is also used in various applications such as in determining the polarity of molecules in chemistry and in calculating the torque on an electric dipole in an external electric field.

## 4. Can the electric dipole moment vector be negative?

Yes, the electric dipole moment vector can be negative if the two charges have opposite signs and the angle between the line connecting them and the electric field direction is greater than 90 degrees. In this case, the vector will point in the opposite direction of the electric field.

## 5. How does the electric dipole moment vector affect the strength of an electric field?

The electric dipole moment vector affects the strength of an electric field by influencing the overall direction and magnitude of the field. An electric dipole aligned with the electric field will enhance the strength of the field, while an electric dipole oriented perpendicular to the field will weaken it. The electric dipole moment vector also plays a role in determining the potential energy of a system in an electric field.

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