This document discusses the relationship between three electric vectors: the electric field vector E, the electric displacement vector D, and the electric polarization vector P. It states that D is equal to E plus 4πP, meaning D accounts for both the applied electric field E and the effect of electric polarization P inside a dielectric material. The electric displacement vector D is useful for calculations involving dielectric materials, as it enables the use of Gauss's law. P represents the polarization charge in a material and is the difference between the induced electric field D and the imposed field E.

1. RAI SAHEB BHANWAR SINGH
COLLEGE,
TOPIC:-
SUBMITTED BY:-
Dolly Rajput
SUBMITTED TO:-
MR. GYANRAO DHOTE SIR

2. * Properties of D and E
* Relation between D, E and P

3. Three Electric Vectors
The Relation between D, E and P is
E Electric Field Vector
D Electric Displacement Vector
P Electric Polarization Vector
This expression obtained during the course of
derivation of Gauss Law (Differential form)
gives the relation between the
three electric vectors E, P and D.

4. Electric Displacement Vector D
D is an electric vector that represents
the component of an electric field associated solely
with the presence of separated free electric charges,
purposely excluding the contribution of
any bound electric charges in neutral atoms or molecules.

5. Electric Displacement Vector D
If a slab of insulating material
is inserted between the charged plates,
the shift of charge, or polarization,
reduces the value of the applied electric field E
that was present prior to inserting the insulation.

6. Electric Displacement Vector D
The average value of the electric field E, has components
P that depends on the bound polarization charges and
D Electric Displacement, that depends on free charges
without reference to
the dielectric properties of the surrounding medium

7. Electric Displacement Vector D
The electric displacement field is a vector field defined as
in metre-kilogram-second (mks) or SI system
D = E+ 4πP.In the centimetre-gram-second (cgs) system
D is measured in coulombs per square meter.
Quantity D is convenient for various calculations e.g.
D enables to write Gauss’ Law for dielectric material

8. Electric Displacement Vector D
Fig. Representation of the relation between three Electric Vectors

9. E, D and P,the three Electric Vectors have properties as
1.E is connected with all charges
that are actually present, whether free or bound.
The lines of E indicate the presence of both kinds of charge
2. D is connected with free charge only, so that
it is not altered by the introduction of the dielectric.
Three Electric Vectors

10. Three Electric Vectors
3. P is connected with the polarization charge only.
It is also possible to represent P by vector field by lines.
The electric polarization P may also be defined
in terms of Electric Displacement vector D.

11. P the difference between
the electric fields D (induced) and
E (imposed) in a dielectric
due to bound and free charges,
respectively as follows.
in CGS
Three Electric Vectors

12. Thanks For
Your
Attention