JEE Main & Advanced Physics Electrostatics & Capacitance JEE PYQ-Electrostatics and Capacitance

  • question_answer
    The work done in placing a charge of \[8\times {{10}^{-18}}C\] on a condenser of capacity \[100\mu F\] is [AIEEE 2003]

    A) \[16\times {{10}^{-32}}\] J

    B) \[3.1\times {{10}^{-26}}\] J

    C) \[4\times {{10}^{-10}}\] J

    D) \[32\times {{10}^{-32}}\] J

    Correct Answer: D

    Solution :

    [d] In this case, the work done is stored as electrostatic potential energy in the capacitor.
                            \[W=\frac{1}{2}C{{V}^{2}}=\frac{1}{2}\frac{{{q}^{2}}}{C}\]
                            \[=\frac{1}{2}\times \frac{{{(8\times {{10}^{-18}})}^{2}}}{100\times {{10}^{-6}}}\]
                \[=\frac{1}{2}\times \frac{64\times {{10}^{-36}}}{100\times {{10}^{-6}}}=32\times {{10}^{-32}}J\]


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