Module 4: Dielectric Ceramics: Basic Principles
  Basic Properties: Dielectrics in DC Electric Field
 


4.1.3 Dielectric Displacement and Susceptibility

Consider a vacuum plate capacitor configuration as shown below:

Figure 4.3 Parallel plate vacuum capacitor

Figure 4.4 Parallel plate capacitor with a dielectric 

For a vacuum capacitor

OR

(4.7)

where capacitance of the vacuum is given as Cvac = (ε0A)(d)  where εo is the permittivity of free space and is equal to 8.85x10-12 F/m.

If one inserts a dielectric between plates, then capacitance gets modified as

(4.8)

Where εr is dielectric permittivity or more commonly (but not accurately) as relative dielectric constant with value greater than 1.

OR
(4.9)

                                                                            (4.9)
Thus, inserting a dielectric leads to an increase in the stored charge in the capacitor as shown below.  
Basically, εr signified some sort of interaction between the material and electromagnetic field.

Figure 4.5 Q-V plot with effect of εr

Now the question is: Why does inserting a dielectric increases the capacitance of a capacitor?

We will see this in the following sections.