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JIPMER Jipmer Medical Solved Paper-2005

  • 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:

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

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

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

    D)         \[\frac{\text{3}\text{r}}{{{\varepsilon }_{0}}}\]

    Correct Answer: C

    Solution :

    Charge which is enclosed in the surface is given by \[\sigma =\frac{4}{3}\pi {{r}^{3}}\rho \] Now according to Gaussian law \[\varepsilon \,\phi \,E\,ds=\sigma ,\,\,{{\varepsilon }_{0}}E4\pi {{r}^{2}}=\frac{4}{3}\pi {{r}^{3}}\rho \] \[E=\frac{\rho r}{3{{\varepsilon }_{0}}}\]


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