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

  • question_answer
    Four charges \[{{q}_{1}}=2\times {{10}^{-8}}C,\] \[{{q}_{2}}=-2\times {{10}^{-8}}C,\]\[{{q}_{3}}=-3\times {{10}^{-8}}C\], \[{{q}_{3}}=6\times {{10}^{-8}}C\]are placed at four corners of a square of side \[\sqrt{2}\] m. What is hollow spheres of radii r and R (R > r) such that the common center of the square?

    A) 270 V

    B) 300 V

    C) Zero     

    D) 100 V

    Correct Answer: A

    Solution :

    [a] Potential at the center O, \[V=k\frac{q}{r}\] \[V=k\left[ \frac{2\times {{10}^{-8}}}{1}+\frac{-2\times {{10}^{-8}}}{1}+\frac{-3\times {{10}^{-8}}}{1}+\frac{6\times {{10}^{-8}}}{1} \right]\]\[V=k\times 3\times {{10}^{-8}}=9\times {{10}^{9}}\times 3\times {{10}^{-8}}volt\] \[=27\times 10=270v\]


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