JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    The distance between the circular plates of a parallel plate condenser \[40mm\] in diameter,  in order to have same capacity as a sphere of radius \[1\ metre\]is [MP PET 1992]

    A)                    \[0.01mm\]

    B)                                      0.1 \[mm\]

    C)                    1.0 \[mm\]

    D)                                      10 \[mm\]

    Correct Answer: B

    Solution :

               \[4\pi {{\varepsilon }_{0}}r=\frac{{{\varepsilon }_{0}}A}{d}\] Þ \[d=\frac{A}{4\pi r}=\frac{\pi {{(20\times {{10}^{-3}})}^{2}}}{4\pi \times 1}=0.1\,mm\]


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