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

  • question_answer
    If a charged spherical conductor of radius \[10\,cm\]has potential \[V\] at a point distant \[5\,cm\] from its centre, then the potential at a point distant \[15\,cm\] from the centre will be [SCRA 1998; JIPMER 2001, 02]

    A)                    \[\frac{1}{3}V\]

    B)                                      \[\frac{2}{3}V\]

    C)                    \[\frac{3}{2}V\]

    D)                                      \[3V\]

    Correct Answer: B

    Solution :

                         Potential inside the sphere will be same as that on its surface i.e. \[V={{V}_{surface}}=\frac{q}{10}stat\,volt\], \[{{V}_{out}}=\frac{q}{15}stat\,volt\] \\[\frac{{{V}_{out}}}{V}=\frac{2}{3}\] Þ \[{{V}_{out}}=\frac{2}{3}V\]


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