JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    Two metallic charged spheres whose radii are 20\[cm\] and 10\[cm\] respectively, have each 150\[micro-coulomb\] positive charge. The common potential after they are connected by a conducting wire is                               [MP PMT 1991]

    A)                    \[9\times {{10}^{6}}\ volts\]

    B)            \[4.5\times {{10}^{6}}\ volts\]

    C)                    \[1.8\times {{10}^{7}}\ volts\]                                  

    D)            \[13.5\times {{10}^{6}}\ volts\]

    Correct Answer: A

    Solution :

               Common potential \[V=\frac{\text{Total charge }}{\text{Total capacitance}}\] \[V=\frac{150\times {{10}^{-6}}\times 2}{4\pi {{\varepsilon }_{0}}(10\times {{10}^{-2}}+20\times {{10}^{-2}})}=9\times {{10}^{6}}\,V\]                                


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