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

  • question_answer
    In an adjoining figure are shown three capacitors \[{{C}_{1}}\],\[{{C}_{2}}\] and \[{{C}_{3}}\] joined to a battery. The correct condition will be (Symbols have their usual meanings)    [CPMT 1988, 89]

    A)                    \[{{Q}_{1}}={{Q}_{2}}={{Q}_{3}}\] and \[{{V}_{1}}={{V}_{2}}={{V}_{3}}=V\]

    B)                    \[{{Q}_{1}}={{Q}_{2}}+{{Q}_{3}}\]and\[V={{V}_{1}}+{{V}_{2}}+{{V}_{3}}\]

    C)                    \[{{Q}_{1}}={{Q}_{2}}+{{Q}_{3}}\] and \[V={{V}_{1}}+{{V}_{2}}\]

    D)                    \[{{Q}_{2}}={{Q}_{3}}\] and \[{{V}_{2}}={{V}_{3}}\]

    Correct Answer: C

    Solution :

                       \[{{Q}_{1}}={{Q}_{2}}+{{Q}_{3}}\] because in series combination charge is same on both the condenser and \[V={{V}_{1}}+{{V}_{2}}\] because in parallel combination \[{{V}_{2}}={{V}_{3}}.\] Hence \[V={{V}_{1}}+{{V}_{2}}\]


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