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

  • question_answer
    If an insulated non-conducting sphere of radius R has charge density \[\rho \]. The electric field at a distance \[r\] from the centre of sphere \[(r<R)\] will be                                                     [BHU 2003]

    A)            \[\frac{\rho \,R}{3{{\varepsilon }_{0}}}\]                     

    B)            \[\frac{\rho \,r}{{{\varepsilon }_{0}}}\]  

    C)            \[\frac{\rho \,r}{3{{\varepsilon }_{0}}}\]

    D)            \[\frac{3\rho \,R}{{{\varepsilon }_{0}}}\]

    Correct Answer: C

    Solution :

                 For non-conducting sphere \[{{E}_{in}}=\frac{k.Qr}{{{R}^{3}}}=\frac{\rho r}{3{{\varepsilon }_{0}}}\]            


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