Page 8 - Electrostatics 11
P. 8

Grade 11                                                                              © GC Shiba


                                                                       
                                                                    1 2
                                                     ∴       =
                                                                4   ∈     2
                                                                      0
               For medium in SI unit, k is replaced by new constant                    1     Where ∈ is
                                                                                      4  ∈
               permittivity of the medium.
                                                                       
                                                                    1 2
                                                     ∴       =
                                                                4   ∈     2

               Permittivity: It is the ability to permit the electric force by medium or free
               space.



               Dielectric constant/ relative permittivity (k):

               Dielectric constant of a medium is defined as the ratio of force acting
               between any two charges in free space at a certain distance to the force
               acting between two same charges in a medium at same distance.


                                                                     
                       Mathematically, k (∈ ) =
                                                    
                                                                       

                                                                   
                                                                1 2
                                                            4   ∈     2
                                                        =         0
                                                                   
                                                                1 2
                                                            4   ∈     2

                                                                    ∈
                                                          ∴    =
                                                                   ∈ 0
               Note: The dielectric constant  depends on other factors  like temperature,
               frequency of voltage applied, moisture etc. It increases with increase in
               temperature in solid and decreases with increase in  temperature in gas and

               liquid.

               1 Coulomb: Two similar charges are said to be 1 coulomb if they exert the
                                   9
               force of 9 × 10  N on each other at a distance of 1 meter in free space.

               Limitations of Coulomb's law:
                   ☻ It holds good for stationary point charges only.

                   ☻ it is not universal as it depends on properties of intervening medium.



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