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

  • question_answer
    Two capacitors connected in parallel having the capacities \[{{C}_{1}}\]and \[{{C}_{2}}\] are given \['q'\] charge, which is distributed among them. The ratio of the charge on \[{{C}_{1}}\]and \[{{C}_{2}}\] will be [NCERT 1977; MP PET/PMT 1988]

    A)                                                      \[\frac{{{C}_{1}}}{{{C}_{2}}}\]                                           

    B)            \[\frac{{{C}_{2}}}{{{C}_{1}}}\]

    C)                    \[{{C}_{1}}{{C}_{2}}\]

    D)            \[\frac{1}{{{C}_{1}}{{C}_{2}}}\]

    Correct Answer: A

    Solution :

                       In parallel combination \[{{V}_{1}}={{V}_{2}}\] or \[\frac{{{q}_{1}}}{{{C}_{1}}}=\frac{{{q}_{2}}}{{{C}_{2}}}\] Þ \[\frac{{{q}_{1}}}{{{q}_{2}}}=\frac{{{C}_{1}}}{{{C}_{2}}}\]


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