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two point charges are seperated by a distance r in vaccum then force on each charge is f now charges are dipped in liquod of dielectric er what showld be the distance between the forces so that force does not change

Asked by abulkalam70174 | 18 Aug, 2022, 06:32: PM
Expert Answer
Let the point charges be q1 and q2 that are separated by a distance r.
 
Electrostatic force f is given as
 
begin mathsize 14px style f space equals space fraction numerator q subscript 1 q subscript 2 over denominator 4 pi epsilon subscript o r squared end fraction end style  ..................... (1)
 
Now if these same two charges are in a dielectric medium of dielectric constant εr and
force between them is same as given in eqn.(1)
 
Then we have
 
begin mathsize 14px style f space equals space fraction numerator q subscript 1 q subscript 2 over denominator 4 pi epsilon subscript o space epsilon subscript r space d squared end fraction end style  .........................(2)
where d is distance between charges in dielectric medium
 
from eqn.(1) and (2) , we get 
 
begin mathsize 14px style d space equals space fraction numerator r over denominator square root of epsilon subscript r end root end fraction end style
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