1.

Two point charges are seperated by a distance r such that a medium of dielectricconstant K is occupied by a length x Now find the coulomb force between those stationary charges.

Answer»

Solution :In this CASE we removethe dielectricand its effective equivalent distance in free space can be taken as `sqrt(K)X`
Now the force between the point charges is
`F=(1)/(4pi in_(0)) (q_(1)q_(2))/({(R-x)+sqrt(K)x}^(2))`
If K = 4 and`x=r//2`
`F=(1)/(4pi in_(0)) (4q_(1)q_(2))/( 9R^(2)) =(4)/(9) (1)/(4pi in_(0)) (q_(1)q_(2))/(r^(2))`
`F=(4)/(9)F_(0)` where
`F_(0)=(1)/(4pi in_(0))(q_(1)q_(2))/(r^(2))` which is the force between the charges if they are separatedby r in vacuum.


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