JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Capacitance

  • question_answer
    A \[6\mu F\] capacitor is charged from \[10\ volts\] to\[20\ volts\]. Increase in energy will be     [CPMT 1987, 97; BCECE 2004]

    A)                    \[18\times {{10}^{-4}}J\] 

    B)            \[9\times {{10}^{-4}}J\]

    C)                    \[4.5\times {{10}^{-4}}J\]

    D)            \[9\times {{10}^{-6}}J\]

    Correct Answer: B

    Solution :

               \[\Delta E={{E}_{Final}}-{{E}_{Initial}}=\frac{1}{2}C(V_{Final}^{2}-V_{Initial}^{2})\] \[=\frac{1}{2}\times 6\times ({{20}^{2}}-{{10}^{2}})\times {{10}^{-6}}\] \[=3\times (400-100)\times {{10}^{-6}}=3\times 300\times {{10}^{-6}}=9\times {{10}^{-4}}J\]


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