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

  • question_answer
    If there are n capacitors in parallel connected to V volt source, then the energy stored is equal to [AIEEE 2002]

    A) CV

    B) \[\frac{1}{2}nC{{V}^{2}}\]

    C) \[C{{V}^{2}}\]

    D) \[\frac{1}{2n}C{{V}^{2}}\]

    Correct Answer: B

    Solution :

    [b] Energy stored by any system of capacitors is
                \[=\frac{1}{2}{{C}_{eq}}{{V}^{2}}\]
                where, V is source voltage.
                Thus, n capacitors are connected in parallel.
                So,                   \[{{C}_{eq}}=nC\]
                \[\therefore \]                  \[{{E}_{eq}}=\frac{1}{2}nC{{V}^{2}}\]


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