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JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Charge and Coulombs Law

  • question_answer
    The charges on two sphere are\[+7\,\mu C\] and \[-5\,\mu C\] respectively. They experience a force F. If each of them is given and additional charge of \[-2\,\mu C\], the new force of attraction will be [RPET 2002]           

    A)                    F

    B)                    F / 2           

    C)                    \[F/\sqrt{3}\]               

    D)                    2F

    Correct Answer: A

    Solution :

                 \[F=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{(+7\times {{10}^{-6}})\,(-5\,\times {{10}^{-6}})}{{{r}^{2}}}=-\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{35\times {{10}^{12}}}{{{r}^{2}}}N\] \[F'=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{(+5\times {{10}^{-6}})(-7\times {{10}^{-6}})}{{{r}^{2}}}=-\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{35\times {{10}^{12}}}{{{r}^{2}}}N\]           


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