JEE Main & Advanced Physics Electrostatics & Capacitance Question Bank Grouping of Capacitors

  • question_answer
    A 20F capacitor is charged to 5V and isolated. It is then connected in parallel with an uncharged 30F capacitor. The decrease in the energy of the system will be [EAMCET 2001]

    A)            25 J

    B)            200 J

    C)            125 J                                        

    D)            150 J

    Correct Answer: D

    Solution :

               \[\Delta U=\frac{{{C}_{1}}{{C}_{2}}}{2({{C}_{1}}+{{C}_{2}})}{{({{V}_{1}}-{{V}_{2}})}^{2}}\]\[=\frac{20\times 30}{2(20+30)}{{(5-0)}^{2}}=150J\]


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