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

  • question_answer
    A series combination of three capacitors of capacities \[1\mu \,F,\,2\,\mu \,F\] and \[8\mu \,F\] is connected to a battery of e.m.f. 13 volt. The potential difference across the plates of \[\,2\,\mu \,F\] capacitor will be                                      [MP PET 2003]

    A)            \[1V\]                                     

    B)            \[8V\]

    C)            \[4V\]                                     

    D)            \[\frac{13}{3}V\]

    Correct Answer: C

    Solution :

               \[\frac{1}{{{C}_{eq}}}=\frac{1}{1}+\frac{1}{2}+\frac{1}{8}\Rightarrow {{C}_{eq}}=\frac{8}{13}\mu F\] Total charge \[Q={{C}_{eq}}V=\frac{8}{13}\times 13=8\mu C\] Potential difference across 2mF capacitor \[=\frac{8}{2}=4V\]


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