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

  • question_answer
    There is a solid sphere of radius ?R? having uniformly distributed charge. What is the relation between electric field ?E? (inside the sphere) and radius of sphere ?R? is [Pb. PMT 2000]

    A)            \[E\propto {{R}^{-2}}\]

    B)                                      \[E\propto {{R}^{-1}}\]

    C)            \[E\propto \frac{1}{{{R}^{3}}}\]

    D)                                      \[E\propto {{R}^{2}}\]

    Correct Answer: C

    Solution :

                  \[E=\frac{1}{4\pi {{\varepsilon }_{0}}}.\frac{Qr}{{{R}^{3}}}\] Þ \[E\propto \frac{1}{{{R}^{3}}}\]


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