JEE Main & Advanced Physics Electrostatics & Capacitance JEE PYQ-Electrostatics and Capacitance

  • question_answer
    Three capacitors, each of \[3\mu F,\]are provided. These cannot be combined to provide the resultant capacitance of:  [JEE ONLINE 09-04-2014]

    A) \[1\mu F\]         

    B) \[2\mu F\]

    C) \[4.5\mu F\]

    D) \[6\mu F\]

    Correct Answer: D

    Solution :

    [d] Possible combination of capacitors
    (i) Three capacitors in series combination
    \[\frac{1}{{{C}_{eq}}}=\frac{1}{3}+\frac{1}{3}+\frac{1}{3}\]\[\therefore \]\[\frac{1}{{{C}_{eq}}}=1\mu F\]
    (ii) Three capacitors in parallel combination
    \[{{C}_{eq}}=3+3+3=9\mu F\]
    (iii) Two capacitors in parallel and one is in series
    \[{{C}_{eq}}=2\mu F\]
    Two capacitors in series and one is in parallel
    \[{{C}_{eq}}=4.5\mu F\]


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