AFMC AFMC Solved Paper-2007

  • question_answer
    When air is replaced by a dielectric medium of constant K. The maximum force of attraction between two charges separated by a distance

    A) increases K-1 times         

    B) increases K times

    C)  decreases K times         

    D) remains constant

    Correct Answer: C

    Solution :

    Key Idea: For all dielectrics the value of relative permittivity is greater than one. From Coulomb's law the force of attraction between two charges \[{{\text{q}}_{1}}\]and \[{{\text{q}}_{2}}\]separated by a distance r is given by \[F=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{{{q}_{1}}{{q}_{2}}}{{{r}^{2}}}\]where \[{{\varepsilon }_{0}}\]is the absolute permittivity of the material medium. For air\[\varepsilon ={{\varepsilon }_{0}}\] and for all other materials. \[\therefore \]     \[\varepsilon =K\varepsilon  & 0\] where K is dimensionless constant called dielectric constant or relative permittivity of the material. \[\therefore \]     \[F=\frac{1}{4\pi {{\varepsilon }_{0}}K}\frac{{{q}_{1}}{{q}_{2}}}{{{r}^{2}}}\] For all dielectrics the value of K is greater than 1, thus, if some dielectric is there between the charges, then the force between them decreases K times.


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