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• #### Daily Analysis: 15th October 2020

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Lesson 2, Topic 3
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# Electric Dipole

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## What is Electric Dipole?

An electric dipole is defined as a couple of opposite charges q and –q separated by a distance d. By default, the direction of electric dipoles in space is always from negative charge -q to positive charge q. The midpoint q and –q is called the centre of the dipole. The simplest example of an electric dipole is a pair of electric charges of two opposite signs and equal magnitude separated by distance.

## Visualizing Electric Dipole

Suppose there are two charges of equal magnitude ‘q’, separated by a distance, d. Let the first charge be negative and the second charge is positive. This combination can be called an electric dipole. Therefore, we can say that an electric dipole is created by the combination of equal and opposite charges by a separation of a certain distance.

An electric dipole is denoted by the symbol p? . We know that electric dipole is the product of the magnitude of the charges multiplied by the distance between them., and this can be mathematically represented as follows:

p? = Qd?

### Direction of Electric Dipole Moment

The electric dipole moment is a vector quantity; it has a defined direction which is from the negative charge to the positive charge. Though, it is important to remember that this convention of direction is only followed in Physics. In Chemistry, the convention is taken to be opposite i.e. from positive to negative. The line along the direction of an electric dipole is called the axis of the dipole.

### Electric potential due to a Dipole (V)

Suppose there are two charges –q, placed at A, and +q placed a B, separated by a distance d, forming a dipole. Suppose the midpoint of AB is O.

The Electric potential due to a dipole at any point P, such that OP = r will be:

Case 1: If ? = 90°

Case 2: If ? = 0°

## Physical Significance of Dipole

Electric dipole is not only prominent in electrostatics but also in chemistry. In most molecules the centre of positive and negative charges coincide at the same point because of which the distance between two charges is zero. Carbon dioxide and methane fall under the category of zero dipole moment. This type of molecules are known as non-polar molecules. The molecules that have permanent dipole moment as the centre of positive and negative charge don’t coincide are called polar molecules.