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

  • question_answer
    Three capacitors 2, 3 and 6 mF are joined in series with each other. What is the minimum effective capacitance [Orissa PMT 2004]

    A)                    \[\frac{1}{2}\mu F\]

    B)                                      1 mF

    C)                    2 mF                                  

    D)            3 mF

    Correct Answer: B

    Solution :

    \[\frac{1}{{{C}_{eq}}}=\frac{1}{{{C}_{1}}}+\frac{1}{{{C}_{2}}}+\frac{1}{{{C}_{3}}}\]\[=\frac{1}{2}+\frac{1}{3}+\frac{1}{6}\] \[=\frac{3+2+1}{6}=\frac{6}{6}=1\mu F\]


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