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

  • question_answer
    Three capacitors of capacity \[{{C}_{1}},\ {{C}_{2}}\ {{C}_{3}}\] are connected in series. Their total capacity will be                                     [MP Board 1977; MP PET/PMT 1988; CPMT 1996]           

    A)            \[{{C}_{1}}+{{C}_{2}}+{{C}_{3}}\]

    B)                                      \[1/({{C}_{1}}+{{C}_{2}}+{{C}_{3}})\]

    C)                    \[{{(C_{1}^{-1}+C_{2}^{-1}+C_{3}^{-1})}^{-1}}\]            

    D)            None of these

    Correct Answer: C

    Solution :

               \[\frac{1}{{{C}_{R}}}=\frac{1}{{{C}_{1}}}+\frac{1}{{{C}_{2}}}+\frac{1}{{{C}_{3}}}\] Þ \[{{C}_{R}}={{(C_{1}^{-1}+C_{2}^{-1}+C_{3}^{-1})}^{-1}}\]


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