what will be the value of electeic field at the center of electeic dipole
Answers
to determine the electric field of a system which is called electric dipole. An electric dipole is mainly two point charges with equal magnitudes and opposite signs separated by a small distance from each other.
Therefore, our electric field vector is going to be equal to q d divided by 2 Pi Epsilon zero z cubed. For the electric field of a dipole along its axis, z distance from its center such that z is much greater than d.
Again, if we’d like to write this down in vector form, we can multiply this by the unit vector pointing in upward direction and let’s call that as k in three dimensional rectangular coordinates. If this is x, this y, and this is z, then we call the associated unit vectors as i, j, and k.
If we look at this expression, which we have the product of the magnitude of the charge of the dipole q, and also the separation distance of the dipole. Of course, the quantity z in the denominator is the distance of the point of interest from the center of the dipole. Both q and d are unique properties of a given dipole. In other words, every dipole will have a unique charge magnitude and also will have a unique separation distance.
So the product of these two quantities will also be a unique value for a given dipole, which we will have a special name for that product and we’ll denote that by p and it is called magnitude of electric dipole moment vector. Therefore this quantity is actually a vector quantity and the direction of electric dipole moment vector is such that it points from negative charge, minus q, to positive charge, plus q.
Therefore, if we redraw the picture, and if this is our dipole, with plus q here and minus q here, and the separation distance d between them, electric dipole moment vector, p, is such that it points from negative charge to positive charge and the magnitude of p is equal to magnitude of q times d. That’s the definition of magnetic dipole moment vector.
Now, why did we consider the condition of this point z much greater than d in the beginning anyway? When we look at the molecular structure of some materials, we see that as the atoms come together, to make a specific molecule, they show some electric dipole characteristics.
For such molecules, therefore, our observation distance, which is z, and that is the distance between the point that we look at that molecule relative to the center of that electric dipole will be much greater than the separation distance of those charges; in other words, the size of the molecule.
Therefore, for those type of cases, it becomes a very reasonable approximation to be able to estimate the electric field of such a molecule at the location of our observation point.
Answer:
Explanation:
Therefore, electrical field at point p is the question mark. Since the total distance between the charges is d and this point is the center of the dipole, therefore this distance will be equal to d over 2.