Electric field intensity at any point due to an electric dipole //class 12th physics //
Channel: Physics world 247
Date: 2023-06-28

Electric field intensity at any point due to an electric dipole //class 12th physics //
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The electric field intensity at any point due to an electric dipole is a vector quantity that describes the strength and direction of the electric field at that point. The electric field intensity is calculated using the following formula:

```
E = p / 4πɛ0 r^3
```

where:

* E is the electric field intensity at the point
* p is the dipole moment of the dipole
* ɛ0 is the permittivity of free space
* r is the distance from the dipole to the point

The dipole moment is a vector quantity that is defined as the product of the magnitude of the charge on each of the dipole's charges and the distance between them. The direction of the dipole moment is from the negative charge to the positive charge.

The electric field intensity due to an electric dipole has the following properties:

* It is directed along the axis of the dipole.
* The magnitude of the electric field intensity is greatest at the ends of the dipole and decreases as the distance from the dipole increases.
* The direction of the electric field intensity depends on the direction of the dipole moment and the position of the point.

The electric field intensity due to an electric dipole is a useful quantity for calculating the force on a charge placed in the electric field of a dipole. It is also used in the calculation of the torque on a dipole placed in an electric field.

Here are some examples of the electric field intensity due to an electric dipole:

* On the axis of the dipole, the electric field intensity is proportional to the distance from the dipole and in the direction of the dipole moment.
* On the equatorial plane of the dipole, the electric field intensity is zero.
* At a point in the space between the charges of the dipole, the electric field intensity is directed from the negative charge to the positive charge.

The electric field intensity due to an electric dipole is a fundamental concept in electrostatics and is used in many applications, such as the design of electric motors and the study of molecular interactions.