JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Graphical Questions

  • question_answer
    The electric field due to a uniformly charged sphere of radius R as a function of the distance from its centre is represented graphically by                                       [AIIMS 2004]

    A)                      

    B)           

    C)           

    D)                                                                            

    Correct Answer: B

    Solution :

               \[{{E}_{inside}}=\frac{\rho }{3{{\varepsilon }_{0}}}r\]          (r < R)                    \[{{E}_{outside}}=\frac{\rho {{R}^{3}}}{3{{\varepsilon }_{0}}{{r}^{2}}}\]                               \[(r\ge R)\] i.e. inside the uniformly charged sphere field varies linearly \[(E\propto r)\] with distance and outside varies according to \[E\propto \frac{1}{{{r}^{2}}}\]


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