JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Electric Field and Potential

  • question_answer
    The number of electrons to be put on a spherical conductor of radius\[0.1\,m\] to produce an electric field of \[0.036N/C\] just above its surface is [MNR 1994; KCET (Engg.)  1999; MH CET (Med.) 2001]

    A)                                                      \[2.7\times {{10}^{5}}\]

    B)                                      \[2.6\times {{10}^{5}}\]

    C)                    \[2.5\times {{10}^{5}}\]

    D)                                      \[2.4\times {{10}^{5}}\]

    Correct Answer: C

    Solution :

                         \[E=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{ne}{{{r}^{2}}}\]  Þ \[n=\frac{E{{r}^{2}}}{e}.4\pi {{\varepsilon }_{0}}\] Þ \[n=\frac{0.036\times 0.1\times 0.1}{9\times {{10}^{9}}\times 1.6\times {{10}^{-19}}}=\frac{360}{144}\times {{10}^{5}}\]= 2.5 ´ 105 N/C.


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