VMMC VMMC Medical Solved Paper-2005

  • question_answer
    In the circuit shown in the figure, the potential difference across the 4.5\[\mu F\]capacitor is :

    A) \[\frac{8}{3}volt\]                                           

    B) 4 volt                    

    C) 6 volt                    

    D)        8 volt

    Correct Answer: D

    Solution :

    In the given figure, capacitors \[3\mu F\] and \[6\mu F\] are connected in parallel, so, their effective capacitance is \[C=3+6=9\,\mu F\] Again C and \[\text{4}\text{.5}\,\text{F}\] are connected in series. Hence, the total effective capacitance is given by \[C=\frac{9\times 4.5}{9+4.5}=3\,\mu F\] The charge through the circuit is given by \[q=CV=3\times 12=36\,\mu C\] Now potential difference across \[\text{4}\text{.5}\,\text{F}\] capacitor is \[=\frac{q}{C}=\frac{36}{4.5}=8\,\text{volt}\]


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