JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Self Evaluation Test - Electrostatic Potential and Capacitance

  • question_answer
    A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the center of the sphere respectively are:

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

    B) \[\frac{Q}{4\pi \varepsilon {{  }_{0}}R}\text{ and 0}\]

    C) \[\frac{Q}{4\pi \varepsilon {{  }_{0}}R}\text{ and }\frac{Q}{4\pi \varepsilon {{  }_{0}}{{R}^{2}}}\text{ }\]

    D) Both are 0

    Correct Answer: B

    Solution :

    [b] Due to conducting sphere At center, electric field E=0 And electric potential \[V=\frac{Q}{4\pi {{\varepsilon }_{0}}R}\]


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