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AMU Medical AMU Solved Paper-2009

  • question_answer
    The adjacent diagram shows a charge + Q held on an insulating support S and enclosed by a hollow spherical conductor. O represents the centre of the spherical conductor and P is a point such that OP = x and SP = r. The electric field at point P will be

    A)  \[\frac{Q}{4\pi {{\varepsilon }_{0}}{{x}^{2}}}\]                  

    B)  \[\frac{Q}{4\pi {{\varepsilon }_{0}}{{r}^{2}}}\]

    C)  zero                                     

    D)  None of these

    Correct Answer: A

    Solution :

                     Applying Gausss law                 \[\oint{\vec{E}.\,\vec{d}s=\frac{1}{{{\varepsilon }_{0}}}{{Q}_{enclosed}}}\]                 \[E.\,4\pi {{x}^{2}}=\frac{Q}{{{\varepsilon }_{0}}}\]                 \[E=\frac{Q}{4\pi {{\varepsilon }_{0}}{{x}^{2}}}\]


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