12th Class Physics Electric Charges and Fields Question Bank MCQ - Electric Charges and Fields

  • question_answer
      A point charge is situated at an axial point of a small electric dipole at a large distance from it. The charge experiences a force F. If the distance of the charge is doubled, the force acting on the charge will become:

    A) 2F                    

    B) F/2   

    C) F/4                   

    D) (d) F/8

    Correct Answer: D

    Solution :

    F/8 Let charge q is placed at a distance rfrom the dipole. Electric field due to dipole at axial point, \[E=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2p}{{{r}^{3}}}\] Force on charge \[q,F=qE\] \[=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2pq}{{{\left( 2r \right)}^{3}}}\] When we double the distance \[F'=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2pq}{{{\left( 2r \right)}^{3}}}\] \[F'=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{2pq}{{{r}^{3}}}\left( \frac{1}{8} \right)\] \[F'=\frac{F}{8}\]


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